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Finding the Fourth Proportional to 71,138.52, 106,723.98 and 24,388.56

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Solution

The fourth proportional to 71,138.52, 106,723.98 and 24,388.56 is: 36,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,138.52 : 106,723.98 = 24,388.56 : x
  2. Step 2: Convert to fraction form
    71,138.52/106,723.98 = 24,388.56/x
  3. Step 3: Cross multiply
    71,138.52x = 106,723.98 × 24,388.56
  4. Step 4: Simplify right side
    71,138.52x = 2,602,844,189.67
  5. Step 5: Solve for x
    x = 2,602,844,189.67/71,138.52
  6. Step 6: Final answer
    x = 36,588.39

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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.