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Finding the Fourth Proportional to 57,134.50, 85,757.18 and 27,573.16

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Solution

The fourth proportional to 57,134.50, 85,757.18 and 27,573.16 is: 41,386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,134.50 : 85,757.18 = 27,573.16 : x
  2. Step 2: Convert to fraction form
    57,134.50/85,757.18 = 27,573.16/x
  3. Step 3: Cross multiply
    57,134.50x = 85,757.18 × 27,573.16
  4. Step 4: Simplify right side
    57,134.50x = 2,364,596,445.29
  5. Step 5: Solve for x
    x = 2,364,596,445.29/57,134.50
  6. Step 6: Final answer
    x = 41,386.49

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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.