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Finding the Fourth Proportional to 57,314.79, 85,996.49 and 27,754.65

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Solution

The fourth proportional to 57,314.79, 85,996.49 and 27,754.65 is: 41,643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,314.79 : 85,996.49 = 27,754.65 : x
  2. Step 2: Convert to fraction form
    57,314.79/85,996.49 = 27,754.65/x
  3. Step 3: Cross multiply
    57,314.79x = 85,996.49 × 27,754.65
  4. Step 4: Simplify right side
    57,314.79x = 2,386,802,342.41
  5. Step 5: Solve for x
    x = 2,386,802,342.41/57,314.79
  6. Step 6: Final answer
    x = 41,643.74

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Why These Related Problems?

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