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Finding the Fourth Proportional to 57,180.34, 85,849.04 and 29,119.24

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Solution

The fourth proportional to 57,180.34, 85,849.04 and 29,119.24 is: 43,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,180.34 : 85,849.04 = 29,119.24 : x
  2. Step 2: Convert to fraction form
    57,180.34/85,849.04 = 29,119.24/x
  3. Step 3: Cross multiply
    57,180.34x = 85,849.04 × 29,119.24
  4. Step 4: Simplify right side
    57,180.34x = 2,499,858,799.53
  5. Step 5: Solve for x
    x = 2,499,858,799.53/57,180.34
  6. Step 6: Final answer
    x = 43,718.85

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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.