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Finding the Fourth Proportional to 31,782.84, 43,860.30 and 17,442.75

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Solution

The fourth proportional to 31,782.84, 43,860.30 and 17,442.75 is: 24,070.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.84 : 43,860.30 = 17,442.75 : x
  2. Step 2: Convert to fraction form
    31,782.84/43,860.30 = 17,442.75/x
  3. Step 3: Cross multiply
    31,782.84x = 43,860.30 × 17,442.75
  4. Step 4: Simplify right side
    31,782.84x = 765,044,247.83
  5. Step 5: Solve for x
    x = 765,044,247.83/31,782.84
  6. Step 6: Final answer
    x = 24,070.98

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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.