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Finding the Fourth Proportional to 53,789.69, 74,232.32 and 29,916.16

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Solution

The fourth proportional to 53,789.69, 74,232.32 and 29,916.16 is: 41,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,789.69 : 74,232.32 = 29,916.16 : x
  2. Step 2: Convert to fraction form
    53,789.69/74,232.32 = 29,916.16/x
  3. Step 3: Cross multiply
    53,789.69x = 74,232.32 × 29,916.16
  4. Step 4: Simplify right side
    53,789.69x = 2,220,745,627.13
  5. Step 5: Solve for x
    x = 2,220,745,627.13/53,789.69
  6. Step 6: Final answer
    x = 41,285.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.