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Finding the Fourth Proportional to 71,903.58, 107,785.71 and 27,496.14

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Solution

The fourth proportional to 71,903.58, 107,785.71 and 27,496.14 is: 41,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,903.58 : 107,785.71 = 27,496.14 : x
  2. Step 2: Convert to fraction form
    71,903.58/107,785.71 = 27,496.14/x
  3. Step 3: Cross multiply
    71,903.58x = 107,785.71 × 27,496.14
  4. Step 4: Simplify right side
    71,903.58x = 2,963,690,972.16
  5. Step 5: Solve for x
    x = 2,963,690,972.16/71,903.58
  6. Step 6: Final answer
    x = 41,217.57

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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.