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Finding the Fourth Proportional to 29,714.78, 41,006.03 and 16,102.53

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Solution

The fourth proportional to 29,714.78, 41,006.03 and 16,102.53 is: 22,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714.78 : 41,006.03 = 16,102.53 : x
  2. Step 2: Convert to fraction form
    29,714.78/41,006.03 = 16,102.53/x
  3. Step 3: Cross multiply
    29,714.78x = 41,006.03 × 16,102.53
  4. Step 4: Simplify right side
    29,714.78x = 660,300,663.48
  5. Step 5: Solve for x
    x = 660,300,663.48/29,714.78
  6. Step 6: Final answer
    x = 22,221.29

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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.