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Finding the Fourth Proportional to 31,210.86, 43,067.88 and 17,781.32

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Solution

The fourth proportional to 31,210.86, 43,067.88 and 17,781.32 is: 24,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,210.86 : 43,067.88 = 17,781.32 : x
  2. Step 2: Convert to fraction form
    31,210.86/43,067.88 = 17,781.32/x
  3. Step 3: Cross multiply
    31,210.86x = 43,067.88 × 17,781.32
  4. Step 4: Simplify right side
    31,210.86x = 765,803,756.00
  5. Step 5: Solve for x
    x = 765,803,756.00/31,210.86
  6. Step 6: Final answer
    x = 24,536.45

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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.