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Finding the Fourth Proportional to 86,876.28, 130,288.50 and 30,706.02

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Solution

The fourth proportional to 86,876.28, 130,288.50 and 30,706.02 is: 46,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,876.28 : 130,288.50 = 30,706.02 : x
  2. Step 2: Convert to fraction form
    86,876.28/130,288.50 = 30,706.02/x
  3. Step 3: Cross multiply
    86,876.28x = 130,288.50 × 30,706.02
  4. Step 4: Simplify right side
    86,876.28x = 4,000,641,286.77
  5. Step 5: Solve for x
    x = 4,000,641,286.77/86,876.28
  6. Step 6: Final answer
    x = 46,049.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.