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Finding the Fourth Proportional to 33,047.17, 49,553.74 and 13,320.43

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Solution

The fourth proportional to 33,047.17, 49,553.74 and 13,320.43 is: 19,973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,047.17 : 49,553.74 = 13,320.43 : x
  2. Step 2: Convert to fraction form
    33,047.17/49,553.74 = 13,320.43/x
  3. Step 3: Cross multiply
    33,047.17x = 49,553.74 × 13,320.43
  4. Step 4: Simplify right side
    33,047.17x = 660,077,124.91
  5. Step 5: Solve for x
    x = 660,077,124.91/33,047.17
  6. Step 6: Final answer
    x = 19,973.79

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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.