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Finding the Fourth Proportional to 98,344, 147,516.54 and 24,472

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Solution

The fourth proportional to 98,344, 147,516.54 and 24,472 is: 36,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,344 : 147,516.54 = 24,472 : x
  2. Step 2: Convert to fraction form
    98,344/147,516.54 = 24,472/x
  3. Step 3: Cross multiply
    98,344x = 147,516.54 × 24,472
  4. Step 4: Simplify right side
    98,344x = 3,610,024,766.88
  5. Step 5: Solve for x
    x = 3,610,024,766.88/98,344
  6. Step 6: Final answer
    x = 36,708.13

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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.