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Finding the Fourth Proportional to 82,690.38, 114,113.90 and 61,957.17

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Solution

The fourth proportional to 82,690.38, 114,113.90 and 61,957.17 is: 85,501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,690.38 : 114,113.90 = 61,957.17 : x
  2. Step 2: Convert to fraction form
    82,690.38/114,113.90 = 61,957.17/x
  3. Step 3: Cross multiply
    82,690.38x = 114,113.90 × 61,957.17
  4. Step 4: Simplify right side
    82,690.38x = 7,070,174,456.56
  5. Step 5: Solve for x
    x = 7,070,174,456.56/82,690.38
  6. Step 6: Final answer
    x = 85,501.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.