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Finding the Fourth Proportional to 61,044.76, 91,983.09 and 50,194.50

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Solution

The fourth proportional to 61,044.76, 91,983.09 and 50,194.50 is: 75,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,044.76 : 91,983.09 = 50,194.50 : x
  2. Step 2: Convert to fraction form
    61,044.76/91,983.09 = 50,194.50/x
  3. Step 3: Cross multiply
    61,044.76x = 91,983.09 × 50,194.50
  4. Step 4: Simplify right side
    61,044.76x = 4,617,045,211.01
  5. Step 5: Solve for x
    x = 4,617,045,211.01/61,044.76
  6. Step 6: Final answer
    x = 75,633.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.