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Finding the Fourth Proportional to 71,853.60, 107,733.46 and 34,412.46

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Solution

The fourth proportional to 71,853.60, 107,733.46 and 34,412.46 is: 51,596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,853.60 : 107,733.46 = 34,412.46 : x
  2. Step 2: Convert to fraction form
    71,853.60/107,733.46 = 34,412.46/x
  3. Step 3: Cross multiply
    71,853.60x = 107,733.46 × 34,412.46
  4. Step 4: Simplify right side
    71,853.60x = 3,707,373,382.91
  5. Step 5: Solve for x
    x = 3,707,373,382.91/71,853.60
  6. Step 6: Final answer
    x = 51,596.21

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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.