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Finding the Fourth Proportional to 109,340.20, 163,949.70 and 38,243.80

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Solution

The fourth proportional to 109,340.20, 163,949.70 and 38,243.80 is: 57,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,340.20 : 163,949.70 = 38,243.80 : x
  2. Step 2: Convert to fraction form
    109,340.20/163,949.70 = 38,243.80/x
  3. Step 3: Cross multiply
    109,340.20x = 163,949.70 × 38,243.80
  4. Step 4: Simplify right side
    109,340.20x = 6,270,059,536.86
  5. Step 5: Solve for x
    x = 6,270,059,536.86/109,340.20
  6. Step 6: Final answer
    x = 57,344.50

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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.