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Finding the Fourth Proportional to 33,686.41, 50,529.62 and 10,309.81

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Solution

The fourth proportional to 33,686.41, 50,529.62 and 10,309.81 is: 15,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,686.41 : 50,529.62 = 10,309.81 : x
  2. Step 2: Convert to fraction form
    33,686.41/50,529.62 = 10,309.81/x
  3. Step 3: Cross multiply
    33,686.41x = 50,529.62 × 10,309.81
  4. Step 4: Simplify right side
    33,686.41x = 520,950,781.57
  5. Step 5: Solve for x
    x = 520,950,781.57/33,686.41
  6. Step 6: Final answer
    x = 15,464.72

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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.