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Finding the Fourth Proportional to 40,098.38, 55,335.02 and 23,102.55

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Solution

The fourth proportional to 40,098.38, 55,335.02 and 23,102.55 is: 31,881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,098.38 : 55,335.02 = 23,102.55 : x
  2. Step 2: Convert to fraction form
    40,098.38/55,335.02 = 23,102.55/x
  3. Step 3: Cross multiply
    40,098.38x = 55,335.02 × 23,102.55
  4. Step 4: Simplify right side
    40,098.38x = 1,278,379,950.79
  5. Step 5: Solve for x
    x = 1,278,379,950.79/40,098.38
  6. Step 6: Final answer
    x = 31,881.09

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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.