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Finding the Fourth Proportional to 32,591.30, 48,923.40 and 25,228.40

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Solution

The fourth proportional to 32,591.30, 48,923.40 and 25,228.40 is: 37,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,591.30 : 48,923.40 = 25,228.40 : x
  2. Step 2: Convert to fraction form
    32,591.30/48,923.40 = 25,228.40/x
  3. Step 3: Cross multiply
    32,591.30x = 48,923.40 × 25,228.40
  4. Step 4: Simplify right side
    32,591.30x = 1,234,259,104.56
  5. Step 5: Solve for x
    x = 1,234,259,104.56/32,591.30
  6. Step 6: Final answer
    x = 37,870.82

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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.