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Finding the Fourth Proportional to 29,929.46, 41,287.48 and 22,843.58

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Solution

The fourth proportional to 29,929.46, 41,287.48 and 22,843.58 is: 31,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,929.46 : 41,287.48 = 22,843.58 : x
  2. Step 2: Convert to fraction form
    29,929.46/41,287.48 = 22,843.58/x
  3. Step 3: Cross multiply
    29,929.46x = 41,287.48 × 22,843.58
  4. Step 4: Simplify right side
    29,929.46x = 943,153,852.38
  5. Step 5: Solve for x
    x = 943,153,852.38/29,929.46
  6. Step 6: Final answer
    x = 31,512.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.