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Finding the Fourth Proportional to 33,686.94, 50,539.05 and 13,958.94

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Solution

The fourth proportional to 33,686.94, 50,539.05 and 13,958.94 is: 20,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,686.94 : 50,539.05 = 13,958.94 : x
  2. Step 2: Convert to fraction form
    33,686.94/50,539.05 = 13,958.94/x
  3. Step 3: Cross multiply
    33,686.94x = 50,539.05 × 13,958.94
  4. Step 4: Simplify right side
    33,686.94x = 705,471,566.61
  5. Step 5: Solve for x
    x = 705,471,566.61/33,686.94
  6. Step 6: Final answer
    x = 20,941.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.