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Finding the Fourth Proportional to 40,474.81, 55,856.22 and 22,569.64

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Solution

The fourth proportional to 40,474.81, 55,856.22 and 22,569.64 is: 31,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,474.81 : 55,856.22 = 22,569.64 : x
  2. Step 2: Convert to fraction form
    40,474.81/55,856.22 = 22,569.64/x
  3. Step 3: Cross multiply
    40,474.81x = 55,856.22 × 22,569.64
  4. Step 4: Simplify right side
    40,474.81x = 1,260,654,497.88
  5. Step 5: Solve for x
    x = 1,260,654,497.88/40,474.81
  6. Step 6: Final answer
    x = 31,146.65

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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.