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Finding the Fourth Proportional to 31,186.14, 43,036.80 and 17,039.09

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Solution

The fourth proportional to 31,186.14, 43,036.80 and 17,039.09 is: 23,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,186.14 : 43,036.80 = 17,039.09 : x
  2. Step 2: Convert to fraction form
    31,186.14/43,036.80 = 17,039.09/x
  3. Step 3: Cross multiply
    31,186.14x = 43,036.80 × 17,039.09
  4. Step 4: Simplify right side
    31,186.14x = 733,307,908.51
  5. Step 5: Solve for x
    x = 733,307,908.51/31,186.14
  6. Step 6: Final answer
    x = 23,513.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.