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Finding the Fourth Proportional to 86,288, 129,432 and 23,958.56

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Solution

The fourth proportional to 86,288, 129,432 and 23,958.56 is: 35,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,288 : 129,432 = 23,958.56 : x
  2. Step 2: Convert to fraction form
    86,288/129,432 = 23,958.56/x
  3. Step 3: Cross multiply
    86,288x = 129,432 × 23,958.56
  4. Step 4: Simplify right side
    86,288x = 3,101,004,337.92
  5. Step 5: Solve for x
    x = 3,101,004,337.92/86,288
  6. Step 6: Final answer
    x = 35,937.84

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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.