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Finding the Fourth Proportional to 96,398.54, 133,029.06 and 53,957.42

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Solution

The fourth proportional to 96,398.54, 133,029.06 and 53,957.42 is: 74,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,398.54 : 133,029.06 = 53,957.42 : x
  2. Step 2: Convert to fraction form
    96,398.54/133,029.06 = 53,957.42/x
  3. Step 3: Cross multiply
    96,398.54x = 133,029.06 × 53,957.42
  4. Step 4: Simplify right side
    96,398.54x = 7,177,904,862.63
  5. Step 5: Solve for x
    x = 7,177,904,862.63/96,398.54
  6. Step 6: Final answer
    x = 74,460.72

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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.