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Finding the Fourth Proportional to 25,942.85, 35,567.76 and 25,470

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Solution

The fourth proportional to 25,942.85, 35,567.76 and 25,470 is: 34,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,942.85 : 35,567.76 = 25,470 : x
  2. Step 2: Convert to fraction form
    25,942.85/35,567.76 = 25,470/x
  3. Step 3: Cross multiply
    25,942.85x = 35,567.76 × 25,470
  4. Step 4: Simplify right side
    25,942.85x = 905,910,847.20
  5. Step 5: Solve for x
    x = 905,910,847.20/25,942.85
  6. Step 6: Final answer
    x = 34,919.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.