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Finding the Fourth Proportional to 49,991, 75,023.60 and 23,695.80

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Solution

The fourth proportional to 49,991, 75,023.60 and 23,695.80 is: 35,561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,991 : 75,023.60 = 23,695.80 : x
  2. Step 2: Convert to fraction form
    49,991/75,023.60 = 23,695.80/x
  3. Step 3: Cross multiply
    49,991x = 75,023.60 × 23,695.80
  4. Step 4: Simplify right side
    49,991x = 1,777,744,220.88
  5. Step 5: Solve for x
    x = 1,777,744,220.88/49,991
  6. Step 6: Final answer
    x = 35,561.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.