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Finding the Fourth Proportional to 61,697.38, 85,137.54 and 34,842.54

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Solution

The fourth proportional to 61,697.38, 85,137.54 and 34,842.54 is: 48,079.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,697.38 : 85,137.54 = 34,842.54 : x
  2. Step 2: Convert to fraction form
    61,697.38/85,137.54 = 34,842.54/x
  3. Step 3: Cross multiply
    61,697.38x = 85,137.54 × 34,842.54
  4. Step 4: Simplify right side
    61,697.38x = 2,966,408,142.95
  5. Step 5: Solve for x
    x = 2,966,408,142.95/61,697.38
  6. Step 6: Final answer
    x = 48,079.97

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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.