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Finding the Fourth Proportional to 70,839.68, 97,758.61 and 38,573.80

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Solution

The fourth proportional to 70,839.68, 97,758.61 and 38,573.80 is: 53,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,839.68 : 97,758.61 = 38,573.80 : x
  2. Step 2: Convert to fraction form
    70,839.68/97,758.61 = 38,573.80/x
  3. Step 3: Cross multiply
    70,839.68x = 97,758.61 × 38,573.80
  4. Step 4: Simplify right side
    70,839.68x = 3,770,920,973.98
  5. Step 5: Solve for x
    x = 3,770,920,973.98/70,839.68
  6. Step 6: Final answer
    x = 53,231.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.