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Finding the Fourth Proportional to 92,134.24, 138,235.16 and 38,839.64

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Solution

The fourth proportional to 92,134.24, 138,235.16 and 38,839.64 is: 58,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,134.24 : 138,235.16 = 38,839.64 : x
  2. Step 2: Convert to fraction form
    92,134.24/138,235.16 = 38,839.64/x
  3. Step 3: Cross multiply
    92,134.24x = 138,235.16 × 38,839.64
  4. Step 4: Simplify right side
    92,134.24x = 5,369,003,037.19
  5. Step 5: Solve for x
    x = 5,369,003,037.19/92,134.24
  6. Step 6: Final answer
    x = 58,273.70

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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.