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Finding the Fourth Proportional to 71,701.77, 107,597.61 and 27,332.40

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Solution

The fourth proportional to 71,701.77, 107,597.61 and 27,332.40 is: 41,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,701.77 : 107,597.61 = 27,332.40 : x
  2. Step 2: Convert to fraction form
    71,701.77/107,597.61 = 27,332.40/x
  3. Step 3: Cross multiply
    71,701.77x = 107,597.61 × 27,332.40
  4. Step 4: Simplify right side
    71,701.77x = 2,940,900,915.56
  5. Step 5: Solve for x
    x = 2,940,900,915.56/71,701.77
  6. Step 6: Final answer
    x = 41,015.74

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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.