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Finding the Fourth Proportional to 101,640.31, 152,432.93 and 42,463.60

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Solution

The fourth proportional to 101,640.31, 152,432.93 and 42,463.60 is: 63,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,640.31 : 152,432.93 = 42,463.60 : x
  2. Step 2: Convert to fraction form
    101,640.31/152,432.93 = 42,463.60/x
  3. Step 3: Cross multiply
    101,640.31x = 152,432.93 × 42,463.60
  4. Step 4: Simplify right side
    101,640.31x = 6,472,850,754.03
  5. Step 5: Solve for x
    x = 6,472,850,754.03/101,640.31
  6. Step 6: Final answer
    x = 63,683.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.