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Finding the Fourth Proportional to 29,465.20, 40,659.82 and 16,721.08

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Solution

The fourth proportional to 29,465.20, 40,659.82 and 16,721.08 is: 23,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,465.20 : 40,659.82 = 16,721.08 : x
  2. Step 2: Convert to fraction form
    29,465.20/40,659.82 = 16,721.08/x
  3. Step 3: Cross multiply
    29,465.20x = 40,659.82 × 16,721.08
  4. Step 4: Simplify right side
    29,465.20x = 679,876,103.01
  5. Step 5: Solve for x
    x = 679,876,103.01/29,465.20
  6. Step 6: Final answer
    x = 23,073.87

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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.