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Finding the Fourth Proportional to 71,748.62, 107,622.75 and 34,194.86

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Solution

The fourth proportional to 71,748.62, 107,622.75 and 34,194.86 is: 51,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,748.62 : 107,622.75 = 34,194.86 : x
  2. Step 2: Convert to fraction form
    71,748.62/107,622.75 = 34,194.86/x
  3. Step 3: Cross multiply
    71,748.62x = 107,622.75 × 34,194.86
  4. Step 4: Simplify right side
    71,748.62x = 3,680,144,869.07
  5. Step 5: Solve for x
    x = 3,680,144,869.07/71,748.62
  6. Step 6: Final answer
    x = 51,292.20

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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.