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Finding the Fourth Proportional to 123,534.92, 185,301.02 and 30,040.76

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Solution

The fourth proportional to 123,534.92, 185,301.02 and 30,040.76 is: 45,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,534.92 : 185,301.02 = 30,040.76 : x
  2. Step 2: Convert to fraction form
    123,534.92/185,301.02 = 30,040.76/x
  3. Step 3: Cross multiply
    123,534.92x = 185,301.02 × 30,040.76
  4. Step 4: Simplify right side
    123,534.92x = 5,566,583,469.58
  5. Step 5: Solve for x
    x = 5,566,583,469.58/123,534.92
  6. Step 6: Final answer
    x = 45,060.81

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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.