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Finding the Fourth Proportional to 35,620, 49,155.06 and 25,429.84

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Solution

The fourth proportional to 35,620, 49,155.06 and 25,429.84 is: 35,092.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,620 : 49,155.06 = 25,429.84 : x
  2. Step 2: Convert to fraction form
    35,620/49,155.06 = 25,429.84/x
  3. Step 3: Cross multiply
    35,620x = 49,155.06 × 25,429.84
  4. Step 4: Simplify right side
    35,620x = 1,250,005,310.99
  5. Step 5: Solve for x
    x = 1,250,005,310.99/35,620
  6. Step 6: Final answer
    x = 35,092.79

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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.