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Finding the Fourth Proportional to 29,756.80, 41,064.82 and 16,327.82

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Solution

The fourth proportional to 29,756.80, 41,064.82 and 16,327.82 is: 22,532.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,756.80 : 41,064.82 = 16,327.82 : x
  2. Step 2: Convert to fraction form
    29,756.80/41,064.82 = 16,327.82/x
  3. Step 3: Cross multiply
    29,756.80x = 41,064.82 × 16,327.82
  4. Step 4: Simplify right side
    29,756.80x = 670,498,989.29
  5. Step 5: Solve for x
    x = 670,498,989.29/29,756.80
  6. Step 6: Final answer
    x = 22,532.63

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1.5x scale

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.