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Finding the Fourth Proportional to 57,135.50, 85,758.68 and 27,574.16

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Solution

The fourth proportional to 57,135.50, 85,758.68 and 27,574.16 is: 41,387.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,135.50 : 85,758.68 = 27,574.16 : x
  2. Step 2: Convert to fraction form
    57,135.50/85,758.68 = 27,574.16/x
  3. Step 3: Cross multiply
    57,135.50x = 85,758.68 × 27,574.16
  4. Step 4: Simplify right side
    57,135.50x = 2,364,723,563.71
  5. Step 5: Solve for x
    x = 2,364,723,563.71/57,135.50
  6. Step 6: Final answer
    x = 41,387.99

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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.