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Finding the Fourth Proportional to 36,521.16, 54,781.80 and 8,819.16

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Solution

The fourth proportional to 36,521.16, 54,781.80 and 8,819.16 is: 13,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,521.16 : 54,781.80 = 8,819.16 : x
  2. Step 2: Convert to fraction form
    36,521.16/54,781.80 = 8,819.16/x
  3. Step 3: Cross multiply
    36,521.16x = 54,781.80 × 8,819.16
  4. Step 4: Simplify right side
    36,521.16x = 483,129,459.29
  5. Step 5: Solve for x
    x = 483,129,459.29/36,521.16
  6. Step 6: Final answer
    x = 13,228.75

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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.