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Finding the Fourth Proportional to 32,116.20, 48,177.90 and 9,929.40

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Solution

The fourth proportional to 32,116.20, 48,177.90 and 9,929.40 is: 14,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.20 : 48,177.90 = 9,929.40 : x
  2. Step 2: Convert to fraction form
    32,116.20/48,177.90 = 9,929.40/x
  3. Step 3: Cross multiply
    32,116.20x = 48,177.90 × 9,929.40
  4. Step 4: Simplify right side
    32,116.20x = 478,377,640.26
  5. Step 5: Solve for x
    x = 478,377,640.26/32,116.20
  6. Step 6: Final answer
    x = 14,895.21

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