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Finding the Fourth Proportional to 61,834.38, 85,331.44 and 34,976.31

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Solution

The fourth proportional to 61,834.38, 85,331.44 and 34,976.31 is: 48,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,834.38 : 85,331.44 = 34,976.31 : x
  2. Step 2: Convert to fraction form
    61,834.38/85,331.44 = 34,976.31/x
  3. Step 3: Cross multiply
    61,834.38x = 85,331.44 × 34,976.31
  4. Step 4: Simplify right side
    61,834.38x = 2,984,578,898.19
  5. Step 5: Solve for x
    x = 2,984,578,898.19/61,834.38
  6. Step 6: Final answer
    x = 48,267.31

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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.