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Finding the Fourth Proportional to 71,268.66, 106,942.14 and 36,211.32

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Solution

The fourth proportional to 71,268.66, 106,942.14 and 36,211.32 is: 54,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,268.66 : 106,942.14 = 36,211.32 : x
  2. Step 2: Convert to fraction form
    71,268.66/106,942.14 = 36,211.32/x
  3. Step 3: Cross multiply
    71,268.66x = 106,942.14 × 36,211.32
  4. Step 4: Simplify right side
    71,268.66x = 3,872,516,053.02
  5. Step 5: Solve for x
    x = 3,872,516,053.02/71,268.66
  6. Step 6: Final answer
    x = 54,336.87

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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.