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Finding the Fourth Proportional to 123,428.82, 185,104.92 and 44,532.78

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Solution

The fourth proportional to 123,428.82, 185,104.92 and 44,532.78 is: 66,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,428.82 : 185,104.92 = 44,532.78 : x
  2. Step 2: Convert to fraction form
    123,428.82/185,104.92 = 44,532.78/x
  3. Step 3: Cross multiply
    123,428.82x = 185,104.92 × 44,532.78
  4. Step 4: Simplify right side
    123,428.82x = 8,243,236,679.28
  5. Step 5: Solve for x
    x = 8,243,236,679.28/123,428.82
  6. Step 6: Final answer
    x = 66,785.35

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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.