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Finding the Fourth Proportional to 61,734.61, 85,193.40 and 34,885.81

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Solution

The fourth proportional to 61,734.61, 85,193.40 and 34,885.81 is: 48,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,734.61 : 85,193.40 = 34,885.81 : x
  2. Step 2: Convert to fraction form
    61,734.61/85,193.40 = 34,885.81/x
  3. Step 3: Cross multiply
    61,734.61x = 85,193.40 × 34,885.81
  4. Step 4: Simplify right side
    61,734.61x = 2,972,040,765.65
  5. Step 5: Solve for x
    x = 2,972,040,765.65/61,734.61
  6. Step 6: Final answer
    x = 48,142.21

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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.