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Finding the Fourth Proportional to 57,159.66, 85,748.58 and 23,862.58

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Solution

The fourth proportional to 57,159.66, 85,748.58 and 23,862.58 is: 35,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,159.66 : 85,748.58 = 23,862.58 : x
  2. Step 2: Convert to fraction form
    57,159.66/85,748.58 = 23,862.58/x
  3. Step 3: Cross multiply
    57,159.66x = 85,748.58 × 23,862.58
  4. Step 4: Simplify right side
    57,159.66x = 2,046,182,350.14
  5. Step 5: Solve for x
    x = 2,046,182,350.14/57,159.66
  6. Step 6: Final answer
    x = 35,797.66

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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.