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Finding the Fourth Proportional to 96,484, 133,147.92 and 54,042.43

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Solution

The fourth proportional to 96,484, 133,147.92 and 54,042.43 is: 74,578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,484 : 133,147.92 = 54,042.43 : x
  2. Step 2: Convert to fraction form
    96,484/133,147.92 = 54,042.43/x
  3. Step 3: Cross multiply
    96,484x = 133,147.92 × 54,042.43
  4. Step 4: Simplify right side
    96,484x = 7,195,637,146.25
  5. Step 5: Solve for x
    x = 7,195,637,146.25/96,484
  6. Step 6: Final answer
    x = 74,578.55

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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.