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Finding the Fourth Proportional to 57,805.84, 79,770.38 and 32,312.25

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Solution

The fourth proportional to 57,805.84, 79,770.38 and 32,312.25 is: 44,589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,805.84 : 79,770.38 = 32,312.25 : x
  2. Step 2: Convert to fraction form
    57,805.84/79,770.38 = 32,312.25/x
  3. Step 3: Cross multiply
    57,805.84x = 79,770.38 × 32,312.25
  4. Step 4: Simplify right side
    57,805.84x = 2,577,560,461.16
  5. Step 5: Solve for x
    x = 2,577,560,461.16/57,805.84
  6. Step 6: Final answer
    x = 44,589.97

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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.