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Finding the Fourth Proportional to 92,497.14, 138,691.84 and 36,271.34

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Solution

The fourth proportional to 92,497.14, 138,691.84 and 36,271.34 is: 54,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,497.14 : 138,691.84 = 36,271.34 : x
  2. Step 2: Convert to fraction form
    92,497.14/138,691.84 = 36,271.34/x
  3. Step 3: Cross multiply
    92,497.14x = 138,691.84 × 36,271.34
  4. Step 4: Simplify right side
    92,497.14x = 5,030,538,883.87
  5. Step 5: Solve for x
    x = 5,030,538,883.87/92,497.14
  6. Step 6: Final answer
    x = 54,385.89

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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.