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Finding the Fourth Proportional to 123,820.68, 185,757.69 and 38,429.76

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Solution

The fourth proportional to 123,820.68, 185,757.69 and 38,429.76 is: 57,652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,820.68 : 185,757.69 = 38,429.76 : x
  2. Step 2: Convert to fraction form
    123,820.68/185,757.69 = 38,429.76/x
  3. Step 3: Cross multiply
    123,820.68x = 185,757.69 × 38,429.76
  4. Step 4: Simplify right side
    123,820.68x = 7,138,623,444.85
  5. Step 5: Solve for x
    x = 7,138,623,444.85/123,820.68
  6. Step 6: Final answer
    x = 57,652.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.