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Finding the Fourth Proportional to 71,158.26, 106,733.54 and 36,097.01

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Solution

The fourth proportional to 71,158.26, 106,733.54 and 36,097.01 is: 54,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,158.26 : 106,733.54 = 36,097.01 : x
  2. Step 2: Convert to fraction form
    71,158.26/106,733.54 = 36,097.01/x
  3. Step 3: Cross multiply
    71,158.26x = 106,733.54 × 36,097.01
  4. Step 4: Simplify right side
    71,158.26x = 3,852,761,127.05
  5. Step 5: Solve for x
    x = 3,852,761,127.05/71,158.26
  6. Step 6: Final answer
    x = 54,143.55

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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.