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Finding the Fourth Proportional to 29,046.21, 40,097.04 and 22,329.48

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Solution

The fourth proportional to 29,046.21, 40,097.04 and 22,329.48 is: 30,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,046.21 : 40,097.04 = 22,329.48 : x
  2. Step 2: Convert to fraction form
    29,046.21/40,097.04 = 22,329.48/x
  3. Step 3: Cross multiply
    29,046.21x = 40,097.04 × 22,329.48
  4. Step 4: Simplify right side
    29,046.21x = 895,346,052.74
  5. Step 5: Solve for x
    x = 895,346,052.74/29,046.21
  6. Step 6: Final answer
    x = 30,824.88

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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.