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Finding the Fourth Proportional to 103,369.80, 154,956.27 and 33,199.91

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Solution

The fourth proportional to 103,369.80, 154,956.27 and 33,199.91 is: 49,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,369.80 : 154,956.27 = 33,199.91 : x
  2. Step 2: Convert to fraction form
    103,369.80/154,956.27 = 33,199.91/x
  3. Step 3: Cross multiply
    103,369.80x = 154,956.27 × 33,199.91
  4. Step 4: Simplify right side
    103,369.80x = 5,144,534,217.94
  5. Step 5: Solve for x
    x = 5,144,534,217.94/103,369.80
  6. Step 6: Final answer
    x = 49,768.25

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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.