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Finding the Fourth Proportional to 57,170.59, 85,785.16 and 27,218.71

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Solution

The fourth proportional to 57,170.59, 85,785.16 and 27,218.71 is: 40,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,170.59 : 85,785.16 = 27,218.71 : x
  2. Step 2: Convert to fraction form
    57,170.59/85,785.16 = 27,218.71/x
  3. Step 3: Cross multiply
    57,170.59x = 85,785.16 × 27,218.71
  4. Step 4: Simplify right side
    57,170.59x = 2,334,961,392.34
  5. Step 5: Solve for x
    x = 2,334,961,392.34/57,170.59
  6. Step 6: Final answer
    x = 40,842.00

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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.