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Finding the Fourth Proportional to 40,562.08, 55,974 and 22,657

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Solution

The fourth proportional to 40,562.08, 55,974 and 22,657 is: 31,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,562.08 : 55,974 = 22,657 : x
  2. Step 2: Convert to fraction form
    40,562.08/55,974 = 22,657/x
  3. Step 3: Cross multiply
    40,562.08x = 55,974 × 22,657
  4. Step 4: Simplify right side
    40,562.08x = 1,268,202,918
  5. Step 5: Solve for x
    x = 1,268,202,918/40,562.08
  6. Step 6: Final answer
    x = 31,265.73

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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.