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Finding the Fourth Proportional to 33,883.16, 50,826.18 and 10,509.08

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Solution

The fourth proportional to 33,883.16, 50,826.18 and 10,509.08 is: 15,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,883.16 : 50,826.18 = 10,509.08 : x
  2. Step 2: Convert to fraction form
    33,883.16/50,826.18 = 10,509.08/x
  3. Step 3: Cross multiply
    33,883.16x = 50,826.18 × 10,509.08
  4. Step 4: Simplify right side
    33,883.16x = 534,136,391.71
  5. Step 5: Solve for x
    x = 534,136,391.71/33,883.16
  6. Step 6: Final answer
    x = 15,764.07

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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.