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Finding the Fourth Proportional to 31,154.09, 42,993.54 and 17,007.84

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Solution

The fourth proportional to 31,154.09, 42,993.54 and 17,007.84 is: 23,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154.09 : 42,993.54 = 17,007.84 : x
  2. Step 2: Convert to fraction form
    31,154.09/42,993.54 = 17,007.84/x
  3. Step 3: Cross multiply
    31,154.09x = 42,993.54 × 17,007.84
  4. Step 4: Simplify right side
    31,154.09x = 731,227,249.35
  5. Step 5: Solve for x
    x = 731,227,249.35/31,154.09
  6. Step 6: Final answer
    x = 23,471.31

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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.