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Finding the Fourth Proportional to 29,162.47, 43,763.01 and 16,024

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Solution

The fourth proportional to 29,162.47, 43,763.01 and 16,024 is: 24,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,162.47 : 43,763.01 = 16,024 : x
  2. Step 2: Convert to fraction form
    29,162.47/43,763.01 = 16,024/x
  3. Step 3: Cross multiply
    29,162.47x = 43,763.01 × 16,024
  4. Step 4: Simplify right side
    29,162.47x = 701,258,472.24
  5. Step 5: Solve for x
    x = 701,258,472.24/29,162.47
  6. Step 6: Final answer
    x = 24,046.61

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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.