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Finding the Fourth Proportional to 71,090.71, 106,701.67 and 36,054.97

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Solution

The fourth proportional to 71,090.71, 106,701.67 and 36,054.97 is: 54,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,090.71 : 106,701.67 = 36,054.97 : x
  2. Step 2: Convert to fraction form
    71,090.71/106,701.67 = 36,054.97/x
  3. Step 3: Cross multiply
    71,090.71x = 106,701.67 × 36,054.97
  4. Step 4: Simplify right side
    71,090.71x = 3,847,125,510.80
  5. Step 5: Solve for x
    x = 3,847,125,510.80/71,090.71
  6. Step 6: Final answer
    x = 54,115.73

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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.