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Finding the Fourth Proportional to 57,614.50, 79,508.02 and 31,118.50

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Solution

The fourth proportional to 57,614.50, 79,508.02 and 31,118.50 is: 42,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,614.50 : 79,508.02 = 31,118.50 : x
  2. Step 2: Convert to fraction form
    57,614.50/79,508.02 = 31,118.50/x
  3. Step 3: Cross multiply
    57,614.50x = 79,508.02 × 31,118.50
  4. Step 4: Simplify right side
    57,614.50x = 2,474,170,320.37
  5. Step 5: Solve for x
    x = 2,474,170,320.37/57,614.50
  6. Step 6: Final answer
    x = 42,943.54

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Why These Related Problems?

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