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Finding the Fourth Proportional to 71,882.48, 107,823.74 and 32,393.45

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Solution

The fourth proportional to 71,882.48, 107,823.74 and 32,393.45 is: 48,590.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,882.48 : 107,823.74 = 32,393.45 : x
  2. Step 2: Convert to fraction form
    71,882.48/107,823.74 = 32,393.45/x
  3. Step 3: Cross multiply
    71,882.48x = 107,823.74 × 32,393.45
  4. Step 4: Simplify right side
    71,882.48x = 3,492,782,229.42
  5. Step 5: Solve for x
    x = 3,492,782,229.42/71,882.48
  6. Step 6: Final answer
    x = 48,590.18

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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.