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Finding the Fourth Proportional to 71,818.76, 107,743.57 and 35,814.83

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Solution

The fourth proportional to 71,818.76, 107,743.57 and 35,814.83 is: 53,729.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,818.76 : 107,743.57 = 35,814.83 : x
  2. Step 2: Convert to fraction form
    71,818.76/107,743.57 = 35,814.83/x
  3. Step 3: Cross multiply
    71,818.76x = 107,743.57 × 35,814.83
  4. Step 4: Simplify right side
    71,818.76x = 3,858,817,643.14
  5. Step 5: Solve for x
    x = 3,858,817,643.14/71,818.76
  6. Step 6: Final answer
    x = 53,729.94

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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.