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Finding the Fourth Proportional to 75,770.67, 113,667.70 and 25,839.09

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Solution

The fourth proportional to 75,770.67, 113,667.70 and 25,839.09 is: 38,762.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,770.67 : 113,667.70 = 25,839.09 : x
  2. Step 2: Convert to fraction form
    75,770.67/113,667.70 = 25,839.09/x
  3. Step 3: Cross multiply
    75,770.67x = 113,667.70 × 25,839.09
  4. Step 4: Simplify right side
    75,770.67x = 2,937,069,865.80
  5. Step 5: Solve for x
    x = 2,937,069,865.80/75,770.67
  6. Step 6: Final answer
    x = 38,762.62

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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.