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Finding the Fourth Proportional to 68,548.80, 102,823.20 and 21,806.40

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Solution

The fourth proportional to 68,548.80, 102,823.20 and 21,806.40 is: 32,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,548.80 : 102,823.20 = 21,806.40 : x
  2. Step 2: Convert to fraction form
    68,548.80/102,823.20 = 21,806.40/x
  3. Step 3: Cross multiply
    68,548.80x = 102,823.20 × 21,806.40
  4. Step 4: Simplify right side
    68,548.80x = 2,242,203,828.48
  5. Step 5: Solve for x
    x = 2,242,203,828.48/68,548.80
  6. Step 6: Final answer
    x = 32,709.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.