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Finding the Fourth Proportional to 31,233, 43,100.46 and 17,808.58

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Solution

The fourth proportional to 31,233, 43,100.46 and 17,808.58 is: 24,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,233 : 43,100.46 = 17,808.58 : x
  2. Step 2: Convert to fraction form
    31,233/43,100.46 = 17,808.58/x
  3. Step 3: Cross multiply
    31,233x = 43,100.46 × 17,808.58
  4. Step 4: Simplify right side
    31,233x = 767,557,989.95
  5. Step 5: Solve for x
    x = 767,557,989.95/31,233
  6. Step 6: Final answer
    x = 24,575.22

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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.