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Finding the Fourth Proportional to 86,716.32, 130,059.36 and 24,372

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Solution

The fourth proportional to 86,716.32, 130,059.36 and 24,372 is: 36,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,716.32 : 130,059.36 = 24,372 : x
  2. Step 2: Convert to fraction form
    86,716.32/130,059.36 = 24,372/x
  3. Step 3: Cross multiply
    86,716.32x = 130,059.36 × 24,372
  4. Step 4: Simplify right side
    86,716.32x = 3,169,806,721.92
  5. Step 5: Solve for x
    x = 3,169,806,721.92/86,716.32
  6. Step 6: Final answer
    x = 36,553.75

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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.