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Finding the Fourth Proportional to 57,105.70, 78,803.31 and 31,613.02

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Solution

The fourth proportional to 57,105.70, 78,803.31 and 31,613.02 is: 43,624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,105.70 : 78,803.31 = 31,613.02 : x
  2. Step 2: Convert to fraction form
    57,105.70/78,803.31 = 31,613.02/x
  3. Step 3: Cross multiply
    57,105.70x = 78,803.31 × 31,613.02
  4. Step 4: Simplify right side
    57,105.70x = 2,491,210,615.10
  5. Step 5: Solve for x
    x = 2,491,210,615.10/57,105.70
  6. Step 6: Final answer
    x = 43,624.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.