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Finding the Fourth Proportional to 71,077.68, 106,169.04 and 52,190.64

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Solution

The fourth proportional to 71,077.68, 106,169.04 and 52,190.64 is: 77,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,077.68 : 106,169.04 = 52,190.64 : x
  2. Step 2: Convert to fraction form
    71,077.68/106,169.04 = 52,190.64/x
  3. Step 3: Cross multiply
    71,077.68x = 106,169.04 × 52,190.64
  4. Step 4: Simplify right side
    71,077.68x = 5,541,030,145.79
  5. Step 5: Solve for x
    x = 5,541,030,145.79/71,077.68
  6. Step 6: Final answer
    x = 77,957.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.