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Finding the Fourth Proportional to 71,467.84, 107,266.02 and 38,216.33

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Solution

The fourth proportional to 71,467.84, 107,266.02 and 38,216.33 is: 57,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,467.84 : 107,266.02 = 38,216.33 : x
  2. Step 2: Convert to fraction form
    71,467.84/107,266.02 = 38,216.33/x
  3. Step 3: Cross multiply
    71,467.84x = 107,266.02 × 38,216.33
  4. Step 4: Simplify right side
    71,467.84x = 4,099,313,618.11
  5. Step 5: Solve for x
    x = 4,099,313,618.11/71,467.84
  6. Step 6: Final answer
    x = 57,358.86

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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.