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Finding the Fourth Proportional to 31,159.67, 42,999.66 and 17,012.75

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Solution

The fourth proportional to 31,159.67, 42,999.66 and 17,012.75 is: 23,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.67 : 42,999.66 = 17,012.75 : x
  2. Step 2: Convert to fraction form
    31,159.67/42,999.66 = 17,012.75/x
  3. Step 3: Cross multiply
    31,159.67x = 42,999.66 × 17,012.75
  4. Step 4: Simplify right side
    31,159.67x = 731,542,465.67
  5. Step 5: Solve for x
    x = 731,542,465.67/31,159.67
  6. Step 6: Final answer
    x = 23,477.22

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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.