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Finding the Fourth Proportional to 29,046.78, 43,587.18 and 11,514.42

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Solution

The fourth proportional to 29,046.78, 43,587.18 and 11,514.42 is: 17,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,046.78 : 43,587.18 = 11,514.42 : x
  2. Step 2: Convert to fraction form
    29,046.78/43,587.18 = 11,514.42/x
  3. Step 3: Cross multiply
    29,046.78x = 43,587.18 × 11,514.42
  4. Step 4: Simplify right side
    29,046.78x = 501,881,097.14
  5. Step 5: Solve for x
    x = 501,881,097.14/29,046.78
  6. Step 6: Final answer
    x = 17,278.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.