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Finding the Fourth Proportional to 57,196.38, 78,930.90 and 34,840.38

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Solution

The fourth proportional to 57,196.38, 78,930.90 and 34,840.38 is: 48,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,196.38 : 78,930.90 = 34,840.38 : x
  2. Step 2: Convert to fraction form
    57,196.38/78,930.90 = 34,840.38/x
  3. Step 3: Cross multiply
    57,196.38x = 78,930.90 × 34,840.38
  4. Step 4: Simplify right side
    57,196.38x = 2,749,982,549.74
  5. Step 5: Solve for x
    x = 2,749,982,549.74/57,196.38
  6. Step 6: Final answer
    x = 48,079.66

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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.