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Finding the Fourth Proportional to 33,416.40, 50,124.54 and 13,694.98

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Solution

The fourth proportional to 33,416.40, 50,124.54 and 13,694.98 is: 20,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,416.40 : 50,124.54 = 13,694.98 : x
  2. Step 2: Convert to fraction form
    33,416.40/50,124.54 = 13,694.98/x
  3. Step 3: Cross multiply
    33,416.40x = 50,124.54 × 13,694.98
  4. Step 4: Simplify right side
    33,416.40x = 686,454,572.81
  5. Step 5: Solve for x
    x = 686,454,572.81/33,416.40
  6. Step 6: Final answer
    x = 20,542.45

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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.