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Finding the Fourth Proportional to 29,680.22, 44,520.34 and 11,919

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Solution

The fourth proportional to 29,680.22, 44,520.34 and 11,919 is: 17,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,680.22 : 44,520.34 = 11,919 : x
  2. Step 2: Convert to fraction form
    29,680.22/44,520.34 = 11,919/x
  3. Step 3: Cross multiply
    29,680.22x = 44,520.34 × 11,919
  4. Step 4: Simplify right side
    29,680.22x = 530,637,932.46
  5. Step 5: Solve for x
    x = 530,637,932.46/29,680.22
  6. Step 6: Final answer
    x = 17,878.50

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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.