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Finding the Fourth Proportional to 81,714.20, 122,571.30 and 46,657.40

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Solution

The fourth proportional to 81,714.20, 122,571.30 and 46,657.40 is: 69,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,714.20 : 122,571.30 = 46,657.40 : x
  2. Step 2: Convert to fraction form
    81,714.20/122,571.30 = 46,657.40/x
  3. Step 3: Cross multiply
    81,714.20x = 122,571.30 × 46,657.40
  4. Step 4: Simplify right side
    81,714.20x = 5,718,858,172.62
  5. Step 5: Solve for x
    x = 5,718,858,172.62/81,714.20
  6. Step 6: Final answer
    x = 69,986.10

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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.