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Finding the Fourth Proportional to 42,477.35, 63,724.19 and 22,777.92

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Solution

The fourth proportional to 42,477.35, 63,724.19 and 22,777.92 is: 34,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,477.35 : 63,724.19 = 22,777.92 : x
  2. Step 2: Convert to fraction form
    42,477.35/63,724.19 = 22,777.92/x
  3. Step 3: Cross multiply
    42,477.35x = 63,724.19 × 22,777.92
  4. Step 4: Simplify right side
    42,477.35x = 1,451,504,388.00
  5. Step 5: Solve for x
    x = 1,451,504,388.00/42,477.35
  6. Step 6: Final answer
    x = 34,171.26

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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.