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Finding the Fourth Proportional to 29,323.16, 40,471.38 and 16,747.91

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Solution

The fourth proportional to 29,323.16, 40,471.38 and 16,747.91 is: 23,115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,323.16 : 40,471.38 = 16,747.91 : x
  2. Step 2: Convert to fraction form
    29,323.16/40,471.38 = 16,747.91/x
  3. Step 3: Cross multiply
    29,323.16x = 40,471.38 × 16,747.91
  4. Step 4: Simplify right side
    29,323.16x = 677,811,029.82
  5. Step 5: Solve for x
    x = 677,811,029.82/29,323.16
  6. Step 6: Final answer
    x = 23,115.21

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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.