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Finding the Fourth Proportional to 31,492.44, 43,416 and 22,524.30

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Solution

The fourth proportional to 31,492.44, 43,416 and 22,524.30 is: 31,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,492.44 : 43,416 = 22,524.30 : x
  2. Step 2: Convert to fraction form
    31,492.44/43,416 = 22,524.30/x
  3. Step 3: Cross multiply
    31,492.44x = 43,416 × 22,524.30
  4. Step 4: Simplify right side
    31,492.44x = 977,915,008.80
  5. Step 5: Solve for x
    x = 977,915,008.80/31,492.44
  6. Step 6: Final answer
    x = 31,052.37

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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.