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Finding the Fourth Proportional to 80,589.06, 120,852 and 47,317.50

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Solution

The fourth proportional to 80,589.06, 120,852 and 47,317.50 is: 70,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,589.06 : 120,852 = 47,317.50 : x
  2. Step 2: Convert to fraction form
    80,589.06/120,852 = 47,317.50/x
  3. Step 3: Cross multiply
    80,589.06x = 120,852 × 47,317.50
  4. Step 4: Simplify right side
    80,589.06x = 5,718,414,510
  5. Step 5: Solve for x
    x = 5,718,414,510/80,589.06
  6. Step 6: Final answer
    x = 70,957.70

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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.