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Finding the Fourth Proportional to 33,438.72, 50,158.08 and 11,248

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Solution

The fourth proportional to 33,438.72, 50,158.08 and 11,248 is: 16,872

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,438.72 : 50,158.08 = 11,248 : x
  2. Step 2: Convert to fraction form
    33,438.72/50,158.08 = 11,248/x
  3. Step 3: Cross multiply
    33,438.72x = 50,158.08 × 11,248
  4. Step 4: Simplify right side
    33,438.72x = 564,178,083.84
  5. Step 5: Solve for x
    x = 564,178,083.84/33,438.72
  6. Step 6: Final answer
    x = 16,872

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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.