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Finding the Fourth Proportional to 33,851.52, 50,788.80 and 17,424

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Solution

The fourth proportional to 33,851.52, 50,788.80 and 17,424 is: 26,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,851.52 : 50,788.80 = 17,424 : x
  2. Step 2: Convert to fraction form
    33,851.52/50,788.80 = 17,424/x
  3. Step 3: Cross multiply
    33,851.52x = 50,788.80 × 17,424
  4. Step 4: Simplify right side
    33,851.52x = 884,944,051.20
  5. Step 5: Solve for x
    x = 884,944,051.20/33,851.52
  6. Step 6: Final answer
    x = 26,141.93

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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.