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Finding the Fourth Proportional to 92,133.63, 138,234.24 and 38,839.02

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Solution

The fourth proportional to 92,133.63, 138,234.24 and 38,839.02 is: 58,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,133.63 : 138,234.24 = 38,839.02 : x
  2. Step 2: Convert to fraction form
    92,133.63/138,234.24 = 38,839.02/x
  3. Step 3: Cross multiply
    92,133.63x = 138,234.24 × 38,839.02
  4. Step 4: Simplify right side
    92,133.63x = 5,368,882,412.04
  5. Step 5: Solve for x
    x = 5,368,882,412.04/92,133.63
  6. Step 6: Final answer
    x = 58,272.78

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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.