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Finding the Fourth Proportional to 57,780.80, 79,774.56 and 47,195.84

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Solution

The fourth proportional to 57,780.80, 79,774.56 and 47,195.84 is: 65,160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,780.80 : 79,774.56 = 47,195.84 : x
  2. Step 2: Convert to fraction form
    57,780.80/79,774.56 = 47,195.84/x
  3. Step 3: Cross multiply
    57,780.80x = 79,774.56 × 47,195.84
  4. Step 4: Simplify right side
    57,780.80x = 3,765,027,369.83
  5. Step 5: Solve for x
    x = 3,765,027,369.83/57,780.80
  6. Step 6: Final answer
    x = 65,160.53

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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.