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Finding the Fourth Proportional to 42,741.68, 58,991.04 and 24,842.24

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Solution

The fourth proportional to 42,741.68, 58,991.04 and 24,842.24 is: 34,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,741.68 : 58,991.04 = 24,842.24 : x
  2. Step 2: Convert to fraction form
    42,741.68/58,991.04 = 24,842.24/x
  3. Step 3: Cross multiply
    42,741.68x = 58,991.04 × 24,842.24
  4. Step 4: Simplify right side
    42,741.68x = 1,465,469,573.53
  5. Step 5: Solve for x
    x = 1,465,469,573.53/42,741.68
  6. Step 6: Final answer
    x = 34,286.66

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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.