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Finding the Fourth Proportional to 80,802.56, 111,517.31 and 46,359.90

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Solution

The fourth proportional to 80,802.56, 111,517.31 and 46,359.90 is: 63,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,802.56 : 111,517.31 = 46,359.90 : x
  2. Step 2: Convert to fraction form
    80,802.56/111,517.31 = 46,359.90/x
  3. Step 3: Cross multiply
    80,802.56x = 111,517.31 × 46,359.90
  4. Step 4: Simplify right side
    80,802.56x = 5,169,931,339.87
  5. Step 5: Solve for x
    x = 5,169,931,339.87/80,802.56
  6. Step 6: Final answer
    x = 63,982.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.