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Finding the Fourth Proportional to 29,322.39, 43,982.97 and 7,135.89

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Solution

The fourth proportional to 29,322.39, 43,982.97 and 7,135.89 is: 10,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,322.39 : 43,982.97 = 7,135.89 : x
  2. Step 2: Convert to fraction form
    29,322.39/43,982.97 = 7,135.89/x
  3. Step 3: Cross multiply
    29,322.39x = 43,982.97 × 7,135.89
  4. Step 4: Simplify right side
    29,322.39x = 313,857,635.79
  5. Step 5: Solve for x
    x = 313,857,635.79/29,322.39
  6. Step 6: Final answer
    x = 10,703.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.