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Finding the Fourth Proportional to 31,111.50, 42,933.87 and 19,934.22

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Solution

The fourth proportional to 31,111.50, 42,933.87 and 19,934.22 is: 27,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111.50 : 42,933.87 = 19,934.22 : x
  2. Step 2: Convert to fraction form
    31,111.50/42,933.87 = 19,934.22/x
  3. Step 3: Cross multiply
    31,111.50x = 42,933.87 × 19,934.22
  4. Step 4: Simplify right side
    31,111.50x = 855,853,210.03
  5. Step 5: Solve for x
    x = 855,853,210.03/31,111.50
  6. Step 6: Final answer
    x = 27,509.22

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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.