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Finding the Fourth Proportional to 29,383.70, 44,082.03 and 9,661.46

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Solution

The fourth proportional to 29,383.70, 44,082.03 and 9,661.46 is: 14,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,383.70 : 44,082.03 = 9,661.46 : x
  2. Step 2: Convert to fraction form
    29,383.70/44,082.03 = 9,661.46/x
  3. Step 3: Cross multiply
    29,383.70x = 44,082.03 × 9,661.46
  4. Step 4: Simplify right side
    29,383.70x = 425,896,769.56
  5. Step 5: Solve for x
    x = 425,896,769.56/29,383.70
  6. Step 6: Final answer
    x = 14,494.32

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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.