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Finding the Fourth Proportional to 92,385.90, 138,232.16 and 54,808.38

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Solution

The fourth proportional to 92,385.90, 138,232.16 and 54,808.38 is: 82,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,385.90 : 138,232.16 = 54,808.38 : x
  2. Step 2: Convert to fraction form
    92,385.90/138,232.16 = 54,808.38/x
  3. Step 3: Cross multiply
    92,385.90x = 138,232.16 × 54,808.38
  4. Step 4: Simplify right side
    92,385.90x = 7,576,280,753.50
  5. Step 5: Solve for x
    x = 7,576,280,753.50/92,385.90
  6. Step 6: Final answer
    x = 82,006.89

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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.