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Finding the Fourth Proportional to 92,614.96, 138,923.10 and 26,061.82

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Solution

The fourth proportional to 92,614.96, 138,923.10 and 26,061.82 is: 39,092.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,614.96 : 138,923.10 = 26,061.82 : x
  2. Step 2: Convert to fraction form
    92,614.96/138,923.10 = 26,061.82/x
  3. Step 3: Cross multiply
    92,614.96x = 138,923.10 × 26,061.82
  4. Step 4: Simplify right side
    92,614.96x = 3,620,588,478.73
  5. Step 5: Solve for x
    x = 3,620,588,478.73/92,614.96
  6. Step 6: Final answer
    x = 39,092.91

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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.