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Finding the Fourth Proportional to 71,399.32, 107,098.20 and 29,270.00

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Solution

The fourth proportional to 71,399.32, 107,098.20 and 29,270.00 is: 43,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,399.32 : 107,098.20 = 29,270.00 : x
  2. Step 2: Convert to fraction form
    71,399.32/107,098.20 = 29,270.00/x
  3. Step 3: Cross multiply
    71,399.32x = 107,098.20 × 29,270.00
  4. Step 4: Simplify right side
    71,399.32x = 3,134,764,581.75
  5. Step 5: Solve for x
    x = 3,134,764,581.75/71,399.32
  6. Step 6: Final answer
    x = 43,904.69

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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.