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Finding the Fourth Proportional to 31,785.98, 43,866.70 and 18,357.80

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Solution

The fourth proportional to 31,785.98, 43,866.70 and 18,357.80 is: 25,334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785.98 : 43,866.70 = 18,357.80 : x
  2. Step 2: Convert to fraction form
    31,785.98/43,866.70 = 18,357.80/x
  3. Step 3: Cross multiply
    31,785.98x = 43,866.70 × 18,357.80
  4. Step 4: Simplify right side
    31,785.98x = 805,295,840.03
  5. Step 5: Solve for x
    x = 805,295,840.03/31,785.98
  6. Step 6: Final answer
    x = 25,334.94

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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.