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Finding the Fourth Proportional to 71,203.68, 106,812.82 and 26,867.74

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Solution

The fourth proportional to 71,203.68, 106,812.82 and 26,867.74 is: 40,304.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,203.68 : 106,812.82 = 26,867.74 : x
  2. Step 2: Convert to fraction form
    71,203.68/106,812.82 = 26,867.74/x
  3. Step 3: Cross multiply
    71,203.68x = 106,812.82 × 26,867.74
  4. Step 4: Simplify right side
    71,203.68x = 2,869,819,076.43
  5. Step 5: Solve for x
    x = 2,869,819,076.43/71,203.68
  6. Step 6: Final answer
    x = 40,304.36

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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.