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Finding the Fourth Proportional to 33,883.28, 50,822.47 and 10,509.11

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Solution

The fourth proportional to 33,883.28, 50,822.47 and 10,509.11 is: 15,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,883.28 : 50,822.47 = 10,509.11 : x
  2. Step 2: Convert to fraction form
    33,883.28/50,822.47 = 10,509.11/x
  3. Step 3: Cross multiply
    33,883.28x = 50,822.47 × 10,509.11
  4. Step 4: Simplify right side
    33,883.28x = 534,098,927.70
  5. Step 5: Solve for x
    x = 534,098,927.70/33,883.28
  6. Step 6: Final answer
    x = 15,762.91

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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.