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Finding the Fourth Proportional to 29,484.72, 44,218 and 9,759.20

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Solution

The fourth proportional to 29,484.72, 44,218 and 9,759.20 is: 14,635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,484.72 : 44,218 = 9,759.20 : x
  2. Step 2: Convert to fraction form
    29,484.72/44,218 = 9,759.20/x
  3. Step 3: Cross multiply
    29,484.72x = 44,218 × 9,759.20
  4. Step 4: Simplify right side
    29,484.72x = 431,532,305.60
  5. Step 5: Solve for x
    x = 431,532,305.60/29,484.72
  6. Step 6: Final answer
    x = 14,635.79

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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.