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Finding the Fourth Proportional to 109,033.20, 163,501.20 and 42,451.20

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Solution

The fourth proportional to 109,033.20, 163,501.20 and 42,451.20 is: 63,657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,033.20 : 163,501.20 = 42,451.20 : x
  2. Step 2: Convert to fraction form
    109,033.20/163,501.20 = 42,451.20/x
  3. Step 3: Cross multiply
    109,033.20x = 163,501.20 × 42,451.20
  4. Step 4: Simplify right side
    109,033.20x = 6,940,822,141.44
  5. Step 5: Solve for x
    x = 6,940,822,141.44/109,033.20
  6. Step 6: Final answer
    x = 63,657.88

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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.