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Finding the Fourth Proportional to 38,069.60, 57,114 and 30,740.64

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Solution

The fourth proportional to 38,069.60, 57,114 and 30,740.64 is: 46,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,069.60 : 57,114 = 30,740.64 : x
  2. Step 2: Convert to fraction form
    38,069.60/57,114 = 30,740.64/x
  3. Step 3: Cross multiply
    38,069.60x = 57,114 × 30,740.64
  4. Step 4: Simplify right side
    38,069.60x = 1,755,720,912.96
  5. Step 5: Solve for x
    x = 1,755,720,912.96/38,069.60
  6. Step 6: Final answer
    x = 46,118.71

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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.