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Finding the Fourth Proportional to 47,187.20, 65,106.56 and 30,400

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Solution

The fourth proportional to 47,187.20, 65,106.56 and 30,400 is: 41,944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,187.20 : 65,106.56 = 30,400 : x
  2. Step 2: Convert to fraction form
    47,187.20/65,106.56 = 30,400/x
  3. Step 3: Cross multiply
    47,187.20x = 65,106.56 × 30,400
  4. Step 4: Simplify right side
    47,187.20x = 1,979,239,424
  5. Step 5: Solve for x
    x = 1,979,239,424/47,187.20
  6. Step 6: Final answer
    x = 41,944.41

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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.