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Finding the Fourth Proportional to 41,722.40, 62,468.40 and 32,506.40

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Solution

The fourth proportional to 41,722.40, 62,468.40 and 32,506.40 is: 48,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,722.40 : 62,468.40 = 32,506.40 : x
  2. Step 2: Convert to fraction form
    41,722.40/62,468.40 = 32,506.40/x
  3. Step 3: Cross multiply
    41,722.40x = 62,468.40 × 32,506.40
  4. Step 4: Simplify right side
    41,722.40x = 2,030,622,797.76
  5. Step 5: Solve for x
    x = 2,030,622,797.76/41,722.40
  6. Step 6: Final answer
    x = 48,669.85

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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.