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Finding the Fourth Proportional to 33,522.96, 46,270 and 19,384

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Solution

The fourth proportional to 33,522.96, 46,270 and 19,384 is: 26,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,522.96 : 46,270 = 19,384 : x
  2. Step 2: Convert to fraction form
    33,522.96/46,270 = 19,384/x
  3. Step 3: Cross multiply
    33,522.96x = 46,270 × 19,384
  4. Step 4: Simplify right side
    33,522.96x = 896,897,680
  5. Step 5: Solve for x
    x = 896,897,680/33,522.96
  6. Step 6: Final answer
    x = 26,754.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.