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Finding the Fourth Proportional to 70,032.54, 96,644.57 and 38,201.16

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Solution

The fourth proportional to 70,032.54, 96,644.57 and 38,201.16 is: 52,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,032.54 : 96,644.57 = 38,201.16 : x
  2. Step 2: Convert to fraction form
    70,032.54/96,644.57 = 38,201.16/x
  3. Step 3: Cross multiply
    70,032.54x = 96,644.57 × 38,201.16
  4. Step 4: Simplify right side
    70,032.54x = 3,691,934,490.70
  5. Step 5: Solve for x
    x = 3,691,934,490.70/70,032.54
  6. Step 6: Final answer
    x = 52,717.42

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