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Finding the Fourth Proportional to 49,691.90, 74,509.52 and 33,916.02

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Solution

The fourth proportional to 49,691.90, 74,509.52 and 33,916.02 is: 50,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,691.90 : 74,509.52 = 33,916.02 : x
  2. Step 2: Convert to fraction form
    49,691.90/74,509.52 = 33,916.02/x
  3. Step 3: Cross multiply
    49,691.90x = 74,509.52 × 33,916.02
  4. Step 4: Simplify right side
    49,691.90x = 2,527,066,387.20
  5. Step 5: Solve for x
    x = 2,527,066,387.20/49,691.90
  6. Step 6: Final answer
    x = 50,854.70

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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.