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Finding the Fourth Proportional to 61,790.74, 85,273.22 and 34,195.70

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Solution

The fourth proportional to 61,790.74, 85,273.22 and 34,195.70 is: 47,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,790.74 : 85,273.22 = 34,195.70 : x
  2. Step 2: Convert to fraction form
    61,790.74/85,273.22 = 34,195.70/x
  3. Step 3: Cross multiply
    61,790.74x = 85,273.22 × 34,195.70
  4. Step 4: Simplify right side
    61,790.74x = 2,915,977,747.83
  5. Step 5: Solve for x
    x = 2,915,977,747.83/61,790.74
  6. Step 6: Final answer
    x = 47,191.18

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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.