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Finding the Fourth Proportional to 29,489, 44,240.80 and 9,769.56

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Solution

The fourth proportional to 29,489, 44,240.80 and 9,769.56 is: 14,656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,489 : 44,240.80 = 9,769.56 : x
  2. Step 2: Convert to fraction form
    29,489/44,240.80 = 9,769.56/x
  3. Step 3: Cross multiply
    29,489x = 44,240.80 × 9,769.56
  4. Step 4: Simplify right side
    29,489x = 432,213,150.05
  5. Step 5: Solve for x
    x = 432,213,150.05/29,489
  6. Step 6: Final answer
    x = 14,656.76

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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.