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Finding the Fourth Proportional to 67,165.70, 92,711.43 and 41,686.98

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Solution

The fourth proportional to 67,165.70, 92,711.43 and 41,686.98 is: 57,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,165.70 : 92,711.43 = 41,686.98 : x
  2. Step 2: Convert to fraction form
    67,165.70/92,711.43 = 41,686.98/x
  3. Step 3: Cross multiply
    67,165.70x = 92,711.43 × 41,686.98
  4. Step 4: Simplify right side
    67,165.70x = 3,864,859,705.30
  5. Step 5: Solve for x
    x = 3,864,859,705.30/67,165.70
  6. Step 6: Final answer
    x = 57,542.16

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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.