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Finding the Fourth Proportional to 61,753.86, 85,219.20 and 34,895.78

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Solution

The fourth proportional to 61,753.86, 85,219.20 and 34,895.78 is: 48,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,753.86 : 85,219.20 = 34,895.78 : x
  2. Step 2: Convert to fraction form
    61,753.86/85,219.20 = 34,895.78/x
  3. Step 3: Cross multiply
    61,753.86x = 85,219.20 × 34,895.78
  4. Step 4: Simplify right side
    61,753.86x = 2,973,790,454.98
  5. Step 5: Solve for x
    x = 2,973,790,454.98/61,753.86
  6. Step 6: Final answer
    x = 48,155.54

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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.