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Finding the Fourth Proportional to 71,097.40, 106,592.10 and 36,062.20

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Solution

The fourth proportional to 71,097.40, 106,592.10 and 36,062.20 is: 54,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,097.40 : 106,592.10 = 36,062.20 : x
  2. Step 2: Convert to fraction form
    71,097.40/106,592.10 = 36,062.20/x
  3. Step 3: Cross multiply
    71,097.40x = 106,592.10 × 36,062.20
  4. Step 4: Simplify right side
    71,097.40x = 3,843,945,628.62
  5. Step 5: Solve for x
    x = 3,843,945,628.62/71,097.40
  6. Step 6: Final answer
    x = 54,065.91

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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.