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Finding the Fourth Proportional to 52,809.68, 79,190.85 and 31,472.47

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Solution

The fourth proportional to 52,809.68, 79,190.85 and 31,472.47 is: 47,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,809.68 : 79,190.85 = 31,472.47 : x
  2. Step 2: Convert to fraction form
    52,809.68/79,190.85 = 31,472.47/x
  3. Step 3: Cross multiply
    52,809.68x = 79,190.85 × 31,472.47
  4. Step 4: Simplify right side
    52,809.68x = 2,492,331,650.90
  5. Step 5: Solve for x
    x = 2,492,331,650.90/52,809.68
  6. Step 6: Final answer
    x = 47,194.60

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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.