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Finding the Fourth Proportional to 29,344, 44,016.36 and 10,876

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Solution

The fourth proportional to 29,344, 44,016.36 and 10,876 is: 16,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,344 : 44,016.36 = 10,876 : x
  2. Step 2: Convert to fraction form
    29,344/44,016.36 = 10,876/x
  3. Step 3: Cross multiply
    29,344x = 44,016.36 × 10,876
  4. Step 4: Simplify right side
    29,344x = 478,721,931.36
  5. Step 5: Solve for x
    x = 478,721,931.36/29,344
  6. Step 6: Final answer
    x = 16,314.13

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Why These Related Problems?

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