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Finding the Fourth Proportional to 29,164.70, 43,754.02 and 9,443.28

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Solution

The fourth proportional to 29,164.70, 43,754.02 and 9,443.28 is: 14,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,164.70 : 43,754.02 = 9,443.28 : x
  2. Step 2: Convert to fraction form
    29,164.70/43,754.02 = 9,443.28/x
  3. Step 3: Cross multiply
    29,164.70x = 43,754.02 × 9,443.28
  4. Step 4: Simplify right side
    29,164.70x = 413,181,461.99
  5. Step 5: Solve for x
    x = 413,181,461.99/29,164.70
  6. Step 6: Final answer
    x = 14,167.18

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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.