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Finding the Fourth Proportional to 29,714.52, 41,005.80 and 17,139

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Solution

The fourth proportional to 29,714.52, 41,005.80 and 17,139 is: 23,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714.52 : 41,005.80 = 17,139 : x
  2. Step 2: Convert to fraction form
    29,714.52/41,005.80 = 17,139/x
  3. Step 3: Cross multiply
    29,714.52x = 41,005.80 × 17,139
  4. Step 4: Simplify right side
    29,714.52x = 702,798,406.20
  5. Step 5: Solve for x
    x = 702,798,406.20/29,714.52
  6. Step 6: Final answer
    x = 23,651.68

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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.