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Finding the Fourth Proportional to 44,592.28, 61,538.04 and 24,451

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Solution

The fourth proportional to 44,592.28, 61,538.04 and 24,451 is: 33,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,592.28 : 61,538.04 = 24,451 : x
  2. Step 2: Convert to fraction form
    44,592.28/61,538.04 = 24,451/x
  3. Step 3: Cross multiply
    44,592.28x = 61,538.04 × 24,451
  4. Step 4: Simplify right side
    44,592.28x = 1,504,666,616.04
  5. Step 5: Solve for x
    x = 1,504,666,616.04/44,592.28
  6. Step 6: Final answer
    x = 33,742.76

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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.