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Finding the Fourth Proportional to 29,052.81, 43,597.65 and 12,412.97

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Solution

The fourth proportional to 29,052.81, 43,597.65 and 12,412.97 is: 18,627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,052.81 : 43,597.65 = 12,412.97 : x
  2. Step 2: Convert to fraction form
    29,052.81/43,597.65 = 12,412.97/x
  3. Step 3: Cross multiply
    29,052.81x = 43,597.65 × 12,412.97
  4. Step 4: Simplify right side
    29,052.81x = 541,176,321.52
  5. Step 5: Solve for x
    x = 541,176,321.52/29,052.81
  6. Step 6: Final answer
    x = 18,627.33

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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.