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Finding the Fourth Proportional to 106,591.70, 159,924.90 and 47,432.74

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Solution

The fourth proportional to 106,591.70, 159,924.90 and 47,432.74 is: 71,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,591.70 : 159,924.90 = 47,432.74 : x
  2. Step 2: Convert to fraction form
    106,591.70/159,924.90 = 47,432.74/x
  3. Step 3: Cross multiply
    106,591.70x = 159,924.90 × 47,432.74
  4. Step 4: Simplify right side
    106,591.70x = 7,585,676,201.23
  5. Step 5: Solve for x
    x = 7,585,676,201.23/106,591.70
  6. Step 6: Final answer
    x = 71,165.73

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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.