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Finding the Fourth Proportional to 44,540.27, 61,465.50 and 24,398

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Solution

The fourth proportional to 44,540.27, 61,465.50 and 24,398 is: 33,669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,540.27 : 61,465.50 = 24,398 : x
  2. Step 2: Convert to fraction form
    44,540.27/61,465.50 = 24,398/x
  3. Step 3: Cross multiply
    44,540.27x = 61,465.50 × 24,398
  4. Step 4: Simplify right side
    44,540.27x = 1,499,635,269
  5. Step 5: Solve for x
    x = 1,499,635,269/44,540.27
  6. Step 6: Final answer
    x = 33,669.20

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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.