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Finding the Fourth Proportional to 98,251.32, 147,252.90 and 42,024.60

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Solution

The fourth proportional to 98,251.32, 147,252.90 and 42,024.60 is: 62,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,251.32 : 147,252.90 = 42,024.60 : x
  2. Step 2: Convert to fraction form
    98,251.32/147,252.90 = 42,024.60/x
  3. Step 3: Cross multiply
    98,251.32x = 147,252.90 × 42,024.60
  4. Step 4: Simplify right side
    98,251.32x = 6,188,244,221.34
  5. Step 5: Solve for x
    x = 6,188,244,221.34/98,251.32
  6. Step 6: Final answer
    x = 62,983.83

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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.