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Finding the Fourth Proportional to 33,782.65, 50,679.44 and 14,061.98

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Solution

The fourth proportional to 33,782.65, 50,679.44 and 14,061.98 is: 21,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,782.65 : 50,679.44 = 14,061.98 : x
  2. Step 2: Convert to fraction form
    33,782.65/50,679.44 = 14,061.98/x
  3. Step 3: Cross multiply
    33,782.65x = 50,679.44 × 14,061.98
  4. Step 4: Simplify right side
    33,782.65x = 712,653,271.69
  5. Step 5: Solve for x
    x = 712,653,271.69/33,782.65
  6. Step 6: Final answer
    x = 21,095.24

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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.