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Finding the Fourth Proportional to 57,065.67, 85,616.76 and 23,789.25

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Solution

The fourth proportional to 57,065.67, 85,616.76 and 23,789.25 is: 35,691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,065.67 : 85,616.76 = 23,789.25 : x
  2. Step 2: Convert to fraction form
    57,065.67/85,616.76 = 23,789.25/x
  3. Step 3: Cross multiply
    57,065.67x = 85,616.76 × 23,789.25
  4. Step 4: Simplify right side
    57,065.67x = 2,036,758,507.83
  5. Step 5: Solve for x
    x = 2,036,758,507.83/57,065.67
  6. Step 6: Final answer
    x = 35,691.49

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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.