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Finding the Fourth Proportional to 50,793.44, 75,881.28 and 32,878.16

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Solution

The fourth proportional to 50,793.44, 75,881.28 and 32,878.16 is: 49,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,793.44 : 75,881.28 = 32,878.16 : x
  2. Step 2: Convert to fraction form
    50,793.44/75,881.28 = 32,878.16/x
  3. Step 3: Cross multiply
    50,793.44x = 75,881.28 × 32,878.16
  4. Step 4: Simplify right side
    50,793.44x = 2,494,836,864.84
  5. Step 5: Solve for x
    x = 2,494,836,864.84/50,793.44
  6. Step 6: Final answer
    x = 49,117.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.