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Finding the Fourth Proportional to 41,980.62, 57,931.02 and 24,074.76

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Solution

The fourth proportional to 41,980.62, 57,931.02 and 24,074.76 is: 33,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,980.62 : 57,931.02 = 24,074.76 : x
  2. Step 2: Convert to fraction form
    41,980.62/57,931.02 = 24,074.76/x
  3. Step 3: Cross multiply
    41,980.62x = 57,931.02 × 24,074.76
  4. Step 4: Simplify right side
    41,980.62x = 1,394,675,403.06
  5. Step 5: Solve for x
    x = 1,394,675,403.06/41,980.62
  6. Step 6: Final answer
    x = 33,221.89

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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.