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Finding the Fourth Proportional to 71,697.43, 107,546.13 and 34,143.64

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Solution

The fourth proportional to 71,697.43, 107,546.13 and 34,143.64 is: 51,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,697.43 : 107,546.13 = 34,143.64 : x
  2. Step 2: Convert to fraction form
    71,697.43/107,546.13 = 34,143.64/x
  3. Step 3: Cross multiply
    71,697.43x = 107,546.13 × 34,143.64
  4. Step 4: Simplify right side
    71,697.43x = 3,672,016,346.11
  5. Step 5: Solve for x
    x = 3,672,016,346.11/71,697.43
  6. Step 6: Final answer
    x = 51,215.45

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1.5x scale

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.