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Finding the Fourth Proportional to 71,736.57, 107,614.82 and 31,752.39

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Solution

The fourth proportional to 71,736.57, 107,614.82 and 31,752.39 is: 47,633.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,736.57 : 107,614.82 = 31,752.39 : x
  2. Step 2: Convert to fraction form
    71,736.57/107,614.82 = 31,752.39/x
  3. Step 3: Cross multiply
    71,736.57x = 107,614.82 × 31,752.39
  4. Step 4: Simplify right side
    71,736.57x = 3,417,028,217.36
  5. Step 5: Solve for x
    x = 3,417,028,217.36/71,736.57
  6. Step 6: Final answer
    x = 47,633.00

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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.