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Finding the Fourth Proportional to 33,010.74, 49,523.40 and 15,471

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Solution

The fourth proportional to 33,010.74, 49,523.40 and 15,471 is: 23,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,010.74 : 49,523.40 = 15,471 : x
  2. Step 2: Convert to fraction form
    33,010.74/49,523.40 = 15,471/x
  3. Step 3: Cross multiply
    33,010.74x = 49,523.40 × 15,471
  4. Step 4: Simplify right side
    33,010.74x = 766,176,521.40
  5. Step 5: Solve for x
    x = 766,176,521.40/33,010.74
  6. Step 6: Final answer
    x = 23,209.92

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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.