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Finding the Fourth Proportional to 47,977.50, 71,893.34 and 30,394.02

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Solution

The fourth proportional to 47,977.50, 71,893.34 and 30,394.02 is: 45,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,977.50 : 71,893.34 = 30,394.02 : x
  2. Step 2: Convert to fraction form
    47,977.50/71,893.34 = 30,394.02/x
  3. Step 3: Cross multiply
    47,977.50x = 71,893.34 × 30,394.02
  4. Step 4: Simplify right side
    47,977.50x = 2,185,127,613.83
  5. Step 5: Solve for x
    x = 2,185,127,613.83/47,977.50
  6. Step 6: Final answer
    x = 45,544.84

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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.