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Finding the Fourth Proportional to 31,932.58, 44,068.31 and 17,785.42

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Solution

The fourth proportional to 31,932.58, 44,068.31 and 17,785.42 is: 24,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,932.58 : 44,068.31 = 17,785.42 : x
  2. Step 2: Convert to fraction form
    31,932.58/44,068.31 = 17,785.42/x
  3. Step 3: Cross multiply
    31,932.58x = 44,068.31 × 17,785.42
  4. Step 4: Simplify right side
    31,932.58x = 783,773,556.67
  5. Step 5: Solve for x
    x = 783,773,556.67/31,932.58
  6. Step 6: Final answer
    x = 24,544.64

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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.