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Finding the Fourth Proportional to 33,497.84, 50,246.68 and 13,762.48

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Solution

The fourth proportional to 33,497.84, 50,246.68 and 13,762.48 is: 20,643.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,497.84 : 50,246.68 = 13,762.48 : x
  2. Step 2: Convert to fraction form
    33,497.84/50,246.68 = 13,762.48/x
  3. Step 3: Cross multiply
    33,497.84x = 50,246.68 × 13,762.48
  4. Step 4: Simplify right side
    33,497.84x = 691,518,928.57
  5. Step 5: Solve for x
    x = 691,518,928.57/33,497.84
  6. Step 6: Final answer
    x = 20,643.69

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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.