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Finding the Fourth Proportional to 36,522.24, 54,782.88 and 8,820

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Solution

The fourth proportional to 36,522.24, 54,782.88 and 8,820 is: 13,229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,522.24 : 54,782.88 = 8,820 : x
  2. Step 2: Convert to fraction form
    36,522.24/54,782.88 = 8,820/x
  3. Step 3: Cross multiply
    36,522.24x = 54,782.88 × 8,820
  4. Step 4: Simplify right side
    36,522.24x = 483,185,001.60
  5. Step 5: Solve for x
    x = 483,185,001.60/36,522.24
  6. Step 6: Final answer
    x = 13,229.88

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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.