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Finding the Fourth Proportional to 38,543.16, 57,813.92 and 17,766.66

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Solution

The fourth proportional to 38,543.16, 57,813.92 and 17,766.66 is: 26,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,543.16 : 57,813.92 = 17,766.66 : x
  2. Step 2: Convert to fraction form
    38,543.16/57,813.92 = 17,766.66/x
  3. Step 3: Cross multiply
    38,543.16x = 57,813.92 × 17,766.66
  4. Step 4: Simplify right side
    38,543.16x = 1,027,160,259.91
  5. Step 5: Solve for x
    x = 1,027,160,259.91/38,543.16
  6. Step 6: Final answer
    x = 26,649.61

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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.