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Finding the Fourth Proportional to 57,216.71, 85,834.25 and 17,764.58

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Solution

The fourth proportional to 57,216.71, 85,834.25 and 17,764.58 is: 26,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,216.71 : 85,834.25 = 17,764.58 : x
  2. Step 2: Convert to fraction form
    57,216.71/85,834.25 = 17,764.58/x
  3. Step 3: Cross multiply
    57,216.71x = 85,834.25 × 17,764.58
  4. Step 4: Simplify right side
    57,216.71x = 1,524,809,400.87
  5. Step 5: Solve for x
    x = 1,524,809,400.87/57,216.71
  6. Step 6: Final answer
    x = 26,649.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.