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Finding the Fourth Proportional to 29,164.93, 43,754.37 and 9,443.50

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Solution

The fourth proportional to 29,164.93, 43,754.37 and 9,443.50 is: 14,167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,164.93 : 43,754.37 = 9,443.50 : x
  2. Step 2: Convert to fraction form
    29,164.93/43,754.37 = 9,443.50/x
  3. Step 3: Cross multiply
    29,164.93x = 43,754.37 × 9,443.50
  4. Step 4: Simplify right side
    29,164.93x = 413,194,393.10
  5. Step 5: Solve for x
    x = 413,194,393.10/29,164.93
  6. Step 6: Final answer
    x = 14,167.51

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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.