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Finding the Fourth Proportional to 35,902.32, 53,876.52 and 17,424.24

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Solution

The fourth proportional to 35,902.32, 53,876.52 and 17,424.24 is: 26,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,902.32 : 53,876.52 = 17,424.24 : x
  2. Step 2: Convert to fraction form
    35,902.32/53,876.52 = 17,424.24/x
  3. Step 3: Cross multiply
    35,902.32x = 53,876.52 × 17,424.24
  4. Step 4: Simplify right side
    35,902.32x = 938,757,414.84
  5. Step 5: Solve for x
    x = 938,757,414.84/35,902.32
  6. Step 6: Final answer
    x = 26,147.54

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