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Finding the Fourth Proportional to 57,279.48, 85,943.70 and 31,002.84

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Solution

The fourth proportional to 57,279.48, 85,943.70 and 31,002.84 is: 46,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,279.48 : 85,943.70 = 31,002.84 : x
  2. Step 2: Convert to fraction form
    57,279.48/85,943.70 = 31,002.84/x
  3. Step 3: Cross multiply
    57,279.48x = 85,943.70 × 31,002.84
  4. Step 4: Simplify right side
    57,279.48x = 2,664,498,780.11
  5. Step 5: Solve for x
    x = 2,664,498,780.11/57,279.48
  6. Step 6: Final answer
    x = 46,517.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.