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Finding the Fourth Proportional to 71,165.74, 106,666.42 and 26,764.15

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Solution

The fourth proportional to 71,165.74, 106,666.42 and 26,764.15 is: 40,115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,165.74 : 106,666.42 = 26,764.15 : x
  2. Step 2: Convert to fraction form
    71,165.74/106,666.42 = 26,764.15/x
  3. Step 3: Cross multiply
    71,165.74x = 106,666.42 × 26,764.15
  4. Step 4: Simplify right side
    71,165.74x = 2,854,836,064.84
  5. Step 5: Solve for x
    x = 2,854,836,064.84/71,165.74
  6. Step 6: Final answer
    x = 40,115.31

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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.