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Finding the Fourth Proportional to 43,286.22, 64,928.97 and 24,574.86

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Solution

The fourth proportional to 43,286.22, 64,928.97 and 24,574.86 is: 36,862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,286.22 : 64,928.97 = 24,574.86 : x
  2. Step 2: Convert to fraction form
    43,286.22/64,928.97 = 24,574.86/x
  3. Step 3: Cross multiply
    43,286.22x = 64,928.97 × 24,574.86
  4. Step 4: Simplify right side
    43,286.22x = 1,595,620,347.69
  5. Step 5: Solve for x
    x = 1,595,620,347.69/43,286.22
  6. Step 6: Final answer
    x = 36,862.09

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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.