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Finding the Fourth Proportional to 31,800.88, 43,905 and 24,617.80

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Solution

The fourth proportional to 31,800.88, 43,905 and 24,617.80 is: 33,987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,800.88 : 43,905 = 24,617.80 : x
  2. Step 2: Convert to fraction form
    31,800.88/43,905 = 24,617.80/x
  3. Step 3: Cross multiply
    31,800.88x = 43,905 × 24,617.80
  4. Step 4: Simplify right side
    31,800.88x = 1,080,844,509
  5. Step 5: Solve for x
    x = 1,080,844,509/31,800.88
  6. Step 6: Final answer
    x = 33,987.88

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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.