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Finding the Fourth Proportional to 96,474.31, 133,061.33 and 84,516.89

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Solution

The fourth proportional to 96,474.31, 133,061.33 and 84,516.89 is: 116,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,474.31 : 133,061.33 = 84,516.89 : x
  2. Step 2: Convert to fraction form
    96,474.31/133,061.33 = 84,516.89/x
  3. Step 3: Cross multiply
    96,474.31x = 133,061.33 × 84,516.89
  4. Step 4: Simplify right side
    96,474.31x = 11,245,929,336.85
  5. Step 5: Solve for x
    x = 11,245,929,336.85/96,474.31
  6. Step 6: Final answer
    x = 116,569.16

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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.