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Finding the Fourth Proportional to 32,645.25, 48,968.42 and 14,177.25

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Solution

The fourth proportional to 32,645.25, 48,968.42 and 14,177.25 is: 21,266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,645.25 : 48,968.42 = 14,177.25 : x
  2. Step 2: Convert to fraction form
    32,645.25/48,968.42 = 14,177.25/x
  3. Step 3: Cross multiply
    32,645.25x = 48,968.42 × 14,177.25
  4. Step 4: Simplify right side
    32,645.25x = 694,237,461.56
  5. Step 5: Solve for x
    x = 694,237,461.56/32,645.25
  6. Step 6: Final answer
    x = 21,266.11

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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.