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Finding the Fourth Proportional to 98,314.50, 147,472.31 and 24,442.50

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Solution

The fourth proportional to 98,314.50, 147,472.31 and 24,442.50 is: 36,663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,314.50 : 147,472.31 = 24,442.50 : x
  2. Step 2: Convert to fraction form
    98,314.50/147,472.31 = 24,442.50/x
  3. Step 3: Cross multiply
    98,314.50x = 147,472.31 × 24,442.50
  4. Step 4: Simplify right side
    98,314.50x = 3,604,591,937.18
  5. Step 5: Solve for x
    x = 3,604,591,937.18/98,314.50
  6. Step 6: Final answer
    x = 36,663.89

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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.