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Finding the Fourth Proportional to 33,681.52, 50,557.50 and 13,971.78

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Solution

The fourth proportional to 33,681.52, 50,557.50 and 13,971.78 is: 20,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,681.52 : 50,557.50 = 13,971.78 : x
  2. Step 2: Convert to fraction form
    33,681.52/50,557.50 = 13,971.78/x
  3. Step 3: Cross multiply
    33,681.52x = 50,557.50 × 13,971.78
  4. Step 4: Simplify right side
    33,681.52x = 706,378,267.35
  5. Step 5: Solve for x
    x = 706,378,267.35/33,681.52
  6. Step 6: Final answer
    x = 20,972.28

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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.