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Finding the Fourth Proportional to 40,352.64, 55,684.86 and 22,446.24

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Solution

The fourth proportional to 40,352.64, 55,684.86 and 22,446.24 is: 30,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,352.64 : 55,684.86 = 22,446.24 : x
  2. Step 2: Convert to fraction form
    40,352.64/55,684.86 = 22,446.24/x
  3. Step 3: Cross multiply
    40,352.64x = 55,684.86 × 22,446.24
  4. Step 4: Simplify right side
    40,352.64x = 1,249,915,731.93
  5. Step 5: Solve for x
    x = 1,249,915,731.93/40,352.64
  6. Step 6: Final answer
    x = 30,974.82

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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.