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Finding the Fourth Proportional to 35,902.38, 49,561.47 and 25,701.42

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Solution

The fourth proportional to 35,902.38, 49,561.47 and 25,701.42 is: 35,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,902.38 : 49,561.47 = 25,701.42 : x
  2. Step 2: Convert to fraction form
    35,902.38/49,561.47 = 25,701.42/x
  3. Step 3: Cross multiply
    35,902.38x = 49,561.47 × 25,701.42
  4. Step 4: Simplify right side
    35,902.38x = 1,273,800,156.29
  5. Step 5: Solve for x
    x = 1,273,800,156.29/35,902.38
  6. Step 6: Final answer
    x = 35,479.55

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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.