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Finding the Fourth Proportional to 112,949.30, 169,411.80 and 29,843.30

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Solution

The fourth proportional to 112,949.30, 169,411.80 and 29,843.30 is: 44,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,949.30 : 169,411.80 = 29,843.30 : x
  2. Step 2: Convert to fraction form
    112,949.30/169,411.80 = 29,843.30/x
  3. Step 3: Cross multiply
    112,949.30x = 169,411.80 × 29,843.30
  4. Step 4: Simplify right side
    112,949.30x = 5,055,807,170.94
  5. Step 5: Solve for x
    x = 5,055,807,170.94/112,949.30
  6. Step 6: Final answer
    x = 44,761.74

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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.