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Finding the Fourth Proportional to 29,965.92, 41,352.61 and 16,536.88

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Solution

The fourth proportional to 29,965.92, 41,352.61 and 16,536.88 is: 22,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965.92 : 41,352.61 = 16,536.88 : x
  2. Step 2: Convert to fraction form
    29,965.92/41,352.61 = 16,536.88/x
  3. Step 3: Cross multiply
    29,965.92x = 41,352.61 × 16,536.88
  4. Step 4: Simplify right side
    29,965.92x = 683,843,149.26
  5. Step 5: Solve for x
    x = 683,843,149.26/29,965.92
  6. Step 6: Final answer
    x = 22,820.70

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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.