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Finding the Fourth Proportional to 70,934.67, 106,522.53 and 47,393.50

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Solution

The fourth proportional to 70,934.67, 106,522.53 and 47,393.50 is: 71,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,934.67 : 106,522.53 = 47,393.50 : x
  2. Step 2: Convert to fraction form
    70,934.67/106,522.53 = 47,393.50/x
  3. Step 3: Cross multiply
    70,934.67x = 106,522.53 × 47,393.50
  4. Step 4: Simplify right side
    70,934.67x = 5,048,474,755.97
  5. Step 5: Solve for x
    x = 5,048,474,755.97/70,934.67
  6. Step 6: Final answer
    x = 71,170.77

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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.