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Finding the Fourth Proportional to 38,564.70, 57,770.64 and 30,205.80

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Solution

The fourth proportional to 38,564.70, 57,770.64 and 30,205.80 is: 45,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564.70 : 57,770.64 = 30,205.80 : x
  2. Step 2: Convert to fraction form
    38,564.70/57,770.64 = 30,205.80/x
  3. Step 3: Cross multiply
    38,564.70x = 57,770.64 × 30,205.80
  4. Step 4: Simplify right side
    38,564.70x = 1,745,008,397.71
  5. Step 5: Solve for x
    x = 1,745,008,397.71/38,564.70
  6. Step 6: Final answer
    x = 45,248.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.