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Finding the Fourth Proportional to 38,091, 57,158.37 and 29,747.60

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Solution

The fourth proportional to 38,091, 57,158.37 and 29,747.60 is: 44,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,091 : 57,158.37 = 29,747.60 : x
  2. Step 2: Convert to fraction form
    38,091/57,158.37 = 29,747.60/x
  3. Step 3: Cross multiply
    38,091x = 57,158.37 × 29,747.60
  4. Step 4: Simplify right side
    38,091x = 1,700,324,041.62
  5. Step 5: Solve for x
    x = 1,700,324,041.62/38,091
  6. Step 6: Final answer
    x = 44,638.47

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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.