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Finding the Fourth Proportional to 29,322.61, 43,986.49 and 8,262.81

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Solution

The fourth proportional to 29,322.61, 43,986.49 and 8,262.81 is: 12,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,322.61 : 43,986.49 = 8,262.81 : x
  2. Step 2: Convert to fraction form
    29,322.61/43,986.49 = 8,262.81/x
  3. Step 3: Cross multiply
    29,322.61x = 43,986.49 × 8,262.81
  4. Step 4: Simplify right side
    29,322.61x = 363,451,988.78
  5. Step 5: Solve for x
    x = 363,451,988.78/29,322.61
  6. Step 6: Final answer
    x = 12,394.94

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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.