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Finding the Fourth Proportional to 33,778.50, 50,667.93 and 9,154.50

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Solution

The fourth proportional to 33,778.50, 50,667.93 and 9,154.50 is: 13,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,778.50 : 50,667.93 = 9,154.50 : x
  2. Step 2: Convert to fraction form
    33,778.50/50,667.93 = 9,154.50/x
  3. Step 3: Cross multiply
    33,778.50x = 50,667.93 × 9,154.50
  4. Step 4: Simplify right side
    33,778.50x = 463,839,565.19
  5. Step 5: Solve for x
    x = 463,839,565.19/33,778.50
  6. Step 6: Final answer
    x = 13,731.80

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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.