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Finding the Fourth Proportional to 71,494.34, 107,260.95 and 24,750.86

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Solution

The fourth proportional to 71,494.34, 107,260.95 and 24,750.86 is: 37,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,494.34 : 107,260.95 = 24,750.86 : x
  2. Step 2: Convert to fraction form
    71,494.34/107,260.95 = 24,750.86/x
  3. Step 3: Cross multiply
    71,494.34x = 107,260.95 × 24,750.86
  4. Step 4: Simplify right side
    71,494.34x = 2,654,800,756.92
  5. Step 5: Solve for x
    x = 2,654,800,756.92/71,494.34
  6. Step 6: Final answer
    x = 37,133.02

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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.