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Finding the Fourth Proportional to 57,787.84, 79,752.80 and 35,121.84

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Solution

The fourth proportional to 57,787.84, 79,752.80 and 35,121.84 is: 48,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,787.84 : 79,752.80 = 35,121.84 : x
  2. Step 2: Convert to fraction form
    57,787.84/79,752.80 = 35,121.84/x
  3. Step 3: Cross multiply
    57,787.84x = 79,752.80 × 35,121.84
  4. Step 4: Simplify right side
    57,787.84x = 2,801,065,081.15
  5. Step 5: Solve for x
    x = 2,801,065,081.15/57,787.84
  6. Step 6: Final answer
    x = 48,471.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.