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Finding the Fourth Proportional to 57,116.79, 85,685.22 and 19,680.84

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Solution

The fourth proportional to 57,116.79, 85,685.22 and 19,680.84 is: 29,524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,116.79 : 85,685.22 = 19,680.84 : x
  2. Step 2: Convert to fraction form
    57,116.79/85,685.22 = 19,680.84/x
  3. Step 3: Cross multiply
    57,116.79x = 85,685.22 × 19,680.84
  4. Step 4: Simplify right side
    57,116.79x = 1,686,357,105.18
  5. Step 5: Solve for x
    x = 1,686,357,105.18/57,116.79
  6. Step 6: Final answer
    x = 29,524.72

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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.