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Finding the Fourth Proportional to 32,228.57, 48,340.90 and 19,164.08

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Solution

The fourth proportional to 32,228.57, 48,340.90 and 19,164.08 is: 28,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,228.57 : 48,340.90 = 19,164.08 : x
  2. Step 2: Convert to fraction form
    32,228.57/48,340.90 = 19,164.08/x
  3. Step 3: Cross multiply
    32,228.57x = 48,340.90 × 19,164.08
  4. Step 4: Simplify right side
    32,228.57x = 926,408,874.87
  5. Step 5: Solve for x
    x = 926,408,874.87/32,228.57
  6. Step 6: Final answer
    x = 28,744.96

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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.