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Finding the Fourth Proportional to 162,712.80, 244,046.70 and 50,470.20

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Solution

The fourth proportional to 162,712.80, 244,046.70 and 50,470.20 is: 75,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,712.80 : 244,046.70 = 50,470.20 : x
  2. Step 2: Convert to fraction form
    162,712.80/244,046.70 = 50,470.20/x
  3. Step 3: Cross multiply
    162,712.80x = 244,046.70 × 50,470.20
  4. Step 4: Simplify right side
    162,712.80x = 12,317,085,758.34
  5. Step 5: Solve for x
    x = 12,317,085,758.34/162,712.80
  6. Step 6: Final answer
    x = 75,698.32

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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.