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Finding the Fourth Proportional to 32,257,084.80, 45,219,638.40 and 32,257,084.80

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Solution

The fourth proportional to 32,257,084.80, 45,219,638.40 and 32,257,084.80 is: 45,219,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,257,084.80 : 45,219,638.40 = 32,257,084.80 : x
  2. Step 2: Convert to fraction form
    32,257,084.80/45,219,638.40 = 32,257,084.80/x
  3. Step 3: Cross multiply
    32,257,084.80x = 45,219,638.40 × 32,257,084.80
  4. Step 4: Simplify right side
    32,257,084.80x = 1,458,653,710,494,136.25
  5. Step 5: Solve for x
    x = 1,458,653,710,494,136.25/32,257,084.80
  6. Step 6: Final answer
    x = 45,219,638.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.