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Finding the Fourth Proportional to 99,761.47, 137,673.76 and 54,442.38

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Solution

The fourth proportional to 99,761.47, 137,673.76 and 54,442.38 is: 75,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,761.47 : 137,673.76 = 54,442.38 : x
  2. Step 2: Convert to fraction form
    99,761.47/137,673.76 = 54,442.38/x
  3. Step 3: Cross multiply
    99,761.47x = 137,673.76 × 54,442.38
  4. Step 4: Simplify right side
    99,761.47x = 7,495,287,107.89
  5. Step 5: Solve for x
    x = 7,495,287,107.89/99,761.47
  6. Step 6: Final answer
    x = 75,132.08

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Why These Related Problems?

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