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Finding the Fourth Proportional to 40,322.64, 55,641 and 22,414.77

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Solution

The fourth proportional to 40,322.64, 55,641 and 22,414.77 is: 30,930.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,322.64 : 55,641 = 22,414.77 : x
  2. Step 2: Convert to fraction form
    40,322.64/55,641 = 22,414.77/x
  3. Step 3: Cross multiply
    40,322.64x = 55,641 × 22,414.77
  4. Step 4: Simplify right side
    40,322.64x = 1,247,180,217.57
  5. Step 5: Solve for x
    x = 1,247,180,217.57/40,322.64
  6. Step 6: Final answer
    x = 30,930.02

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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.