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Finding the Fourth Proportional to 49,724.80, 74,392.80 and 32,228.80

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Solution

The fourth proportional to 49,724.80, 74,392.80 and 32,228.80 is: 48,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,724.80 : 74,392.80 = 32,228.80 : x
  2. Step 2: Convert to fraction form
    49,724.80/74,392.80 = 32,228.80/x
  3. Step 3: Cross multiply
    49,724.80x = 74,392.80 × 32,228.80
  4. Step 4: Simplify right side
    49,724.80x = 2,397,590,672.64
  5. Step 5: Solve for x
    x = 2,397,590,672.64/49,724.80
  6. Step 6: Final answer
    x = 48,217.20

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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.