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Finding the Fourth Proportional to 123,580.38, 185,384.98 and 44,731.74

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Solution

The fourth proportional to 123,580.38, 185,384.98 and 44,731.74 is: 67,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,580.38 : 185,384.98 = 44,731.74 : x
  2. Step 2: Convert to fraction form
    123,580.38/185,384.98 = 44,731.74/x
  3. Step 3: Cross multiply
    123,580.38x = 185,384.98 × 44,731.74
  4. Step 4: Simplify right side
    123,580.38x = 8,292,592,725.27
  5. Step 5: Solve for x
    x = 8,292,592,725.27/123,580.38
  6. Step 6: Final answer
    x = 67,102.83

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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.