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Finding the Fourth Proportional to 29,036.97, 43,561.13 and 9,314.01

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Solution

The fourth proportional to 29,036.97, 43,561.13 and 9,314.01 is: 13,972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,036.97 : 43,561.13 = 9,314.01 : x
  2. Step 2: Convert to fraction form
    29,036.97/43,561.13 = 9,314.01/x
  3. Step 3: Cross multiply
    29,036.97x = 43,561.13 × 9,314.01
  4. Step 4: Simplify right side
    29,036.97x = 405,728,753.86
  5. Step 5: Solve for x
    x = 405,728,753.86/29,036.97
  6. Step 6: Final answer
    x = 13,972.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.