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Finding the Fourth Proportional to 29,714.50, 41,006.02 and 17,139.26

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Solution

The fourth proportional to 29,714.50, 41,006.02 and 17,139.26 is: 23,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714.50 : 41,006.02 = 17,139.26 : x
  2. Step 2: Convert to fraction form
    29,714.50/41,006.02 = 17,139.26/x
  3. Step 3: Cross multiply
    29,714.50x = 41,006.02 × 17,139.26
  4. Step 4: Simplify right side
    29,714.50x = 702,812,838.35
  5. Step 5: Solve for x
    x = 702,812,838.35/29,714.50
  6. Step 6: Final answer
    x = 23,652.18

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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.