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Finding the Fourth Proportional to 106,344, 159,516 and 32,472

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Solution

The fourth proportional to 106,344, 159,516 and 32,472 is: 48,708

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,344 : 159,516 = 32,472 : x
  2. Step 2: Convert to fraction form
    106,344/159,516 = 32,472/x
  3. Step 3: Cross multiply
    106,344x = 159,516 × 32,472
  4. Step 4: Simplify right side
    106,344x = 5,179,803,552
  5. Step 5: Solve for x
    x = 5,179,803,552/106,344
  6. Step 6: Final answer
    x = 48,708

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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.