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Finding the Fourth Proportional to 72,822.20, 100,474.97 and 42,615

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Solution

The fourth proportional to 72,822.20, 100,474.97 and 42,615 is: 58,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,822.20 : 100,474.97 = 42,615 : x
  2. Step 2: Convert to fraction form
    72,822.20/100,474.97 = 42,615/x
  3. Step 3: Cross multiply
    72,822.20x = 100,474.97 × 42,615
  4. Step 4: Simplify right side
    72,822.20x = 4,281,740,633.48
  5. Step 5: Solve for x
    x = 4,281,740,633.48/72,822.20
  6. Step 6: Final answer
    x = 58,797.19

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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.