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Finding the Fourth Proportional to 29,119.24, 43,678.74 and 8,342.74

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Solution

The fourth proportional to 29,119.24, 43,678.74 and 8,342.74 is: 12,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,119.24 : 43,678.74 = 8,342.74 : x
  2. Step 2: Convert to fraction form
    29,119.24/43,678.74 = 8,342.74/x
  3. Step 3: Cross multiply
    29,119.24x = 43,678.74 × 8,342.74
  4. Step 4: Simplify right side
    29,119.24x = 364,400,371.35
  5. Step 5: Solve for x
    x = 364,400,371.35/29,119.24
  6. Step 6: Final answer
    x = 12,514.08

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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.