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Finding the Fourth Proportional to 57,842.22, 79,821.70 and 32,348.30

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Solution

The fourth proportional to 57,842.22, 79,821.70 and 32,348.30 is: 44,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,842.22 : 79,821.70 = 32,348.30 : x
  2. Step 2: Convert to fraction form
    57,842.22/79,821.70 = 32,348.30/x
  3. Step 3: Cross multiply
    57,842.22x = 79,821.70 × 32,348.30
  4. Step 4: Simplify right side
    57,842.22x = 2,582,096,298.11
  5. Step 5: Solve for x
    x = 2,582,096,298.11/57,842.22
  6. Step 6: Final answer
    x = 44,640.34

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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.