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Finding the Fourth Proportional to 71,274.66, 106,951.14 and 36,217.32

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Solution

The fourth proportional to 71,274.66, 106,951.14 and 36,217.32 is: 54,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,274.66 : 106,951.14 = 36,217.32 : x
  2. Step 2: Convert to fraction form
    71,274.66/106,951.14 = 36,217.32/x
  3. Step 3: Cross multiply
    71,274.66x = 106,951.14 × 36,217.32
  4. Step 4: Simplify right side
    71,274.66x = 3,873,483,661.74
  5. Step 5: Solve for x
    x = 3,873,483,661.74/71,274.66
  6. Step 6: Final answer
    x = 54,345.87

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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.