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Finding the Fourth Proportional to 86,697.70, 130,049.23 and 23,517.57

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Solution

The fourth proportional to 86,697.70, 130,049.23 and 23,517.57 is: 35,277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,697.70 : 130,049.23 = 23,517.57 : x
  2. Step 2: Convert to fraction form
    86,697.70/130,049.23 = 23,517.57/x
  3. Step 3: Cross multiply
    86,697.70x = 130,049.23 × 23,517.57
  4. Step 4: Simplify right side
    86,697.70x = 3,058,441,869.97
  5. Step 5: Solve for x
    x = 3,058,441,869.97/86,697.70
  6. Step 6: Final answer
    x = 35,277.08

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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.