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Finding the Fourth Proportional to 96,473.72, 133,135.56 and 54,032.15

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Solution

The fourth proportional to 96,473.72, 133,135.56 and 54,032.15 is: 74,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,473.72 : 133,135.56 = 54,032.15 : x
  2. Step 2: Convert to fraction form
    96,473.72/133,135.56 = 54,032.15/x
  3. Step 3: Cross multiply
    96,473.72x = 133,135.56 × 54,032.15
  4. Step 4: Simplify right side
    96,473.72x = 7,193,599,882.58
  5. Step 5: Solve for x
    x = 7,193,599,882.58/96,473.72
  6. Step 6: Final answer
    x = 74,565.39

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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.