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Finding the Fourth Proportional to 40,146.84, 55,398.60 and 22,238.50

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Solution

The fourth proportional to 40,146.84, 55,398.60 and 22,238.50 is: 30,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,146.84 : 55,398.60 = 22,238.50 : x
  2. Step 2: Convert to fraction form
    40,146.84/55,398.60 = 22,238.50/x
  3. Step 3: Cross multiply
    40,146.84x = 55,398.60 × 22,238.50
  4. Step 4: Simplify right side
    40,146.84x = 1,231,981,766.10
  5. Step 5: Solve for x
    x = 1,231,981,766.10/40,146.84
  6. Step 6: Final answer
    x = 30,686.89

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