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Finding the Fourth Proportional to 57,041.56, 85,491.06 and 27,451.45

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Solution

The fourth proportional to 57,041.56, 85,491.06 and 27,451.45 is: 41,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,041.56 : 85,491.06 = 27,451.45 : x
  2. Step 2: Convert to fraction form
    57,041.56/85,491.06 = 27,451.45/x
  3. Step 3: Cross multiply
    57,041.56x = 85,491.06 × 27,451.45
  4. Step 4: Simplify right side
    57,041.56x = 2,346,853,559.04
  5. Step 5: Solve for x
    x = 2,346,853,559.04/57,041.56
  6. Step 6: Final answer
    x = 41,142.87

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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.