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Finding the Fourth Proportional to 33,016.19, 49,524.12 and 11,684.70

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Solution

The fourth proportional to 33,016.19, 49,524.12 and 11,684.70 is: 17,526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,016.19 : 49,524.12 = 11,684.70 : x
  2. Step 2: Convert to fraction form
    33,016.19/49,524.12 = 11,684.70/x
  3. Step 3: Cross multiply
    33,016.19x = 49,524.12 × 11,684.70
  4. Step 4: Simplify right side
    33,016.19x = 578,674,484.96
  5. Step 5: Solve for x
    x = 578,674,484.96/33,016.19
  6. Step 6: Final answer
    x = 17,526.99

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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.