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Finding the Fourth Proportional to 57,231.65, 85,862.06 and 17,789.10

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Solution

The fourth proportional to 57,231.65, 85,862.06 and 17,789.10 is: 26,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,231.65 : 85,862.06 = 17,789.10 : x
  2. Step 2: Convert to fraction form
    57,231.65/85,862.06 = 17,789.10/x
  3. Step 3: Cross multiply
    57,231.65x = 85,862.06 × 17,789.10
  4. Step 4: Simplify right side
    57,231.65x = 1,527,408,682.60
  5. Step 5: Solve for x
    x = 1,527,408,682.60/57,231.65
  6. Step 6: Final answer
    x = 26,688.18

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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.