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Finding the Fourth Proportional to 116,872.74, 175,198.11 and 37,931.76

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Solution

The fourth proportional to 116,872.74, 175,198.11 and 37,931.76 is: 56,861.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,872.74 : 175,198.11 = 37,931.76 : x
  2. Step 2: Convert to fraction form
    116,872.74/175,198.11 = 37,931.76/x
  3. Step 3: Cross multiply
    116,872.74x = 175,198.11 × 37,931.76
  4. Step 4: Simplify right side
    116,872.74x = 6,645,572,660.97
  5. Step 5: Solve for x
    x = 6,645,572,660.97/116,872.74
  6. Step 6: Final answer
    x = 56,861.61

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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.