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Finding the Fourth Proportional to 42,719.56, 64,049.86 and 22,978.24

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Solution

The fourth proportional to 42,719.56, 64,049.86 and 22,978.24 is: 34,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,719.56 : 64,049.86 = 22,978.24 : x
  2. Step 2: Convert to fraction form
    42,719.56/64,049.86 = 22,978.24/x
  3. Step 3: Cross multiply
    42,719.56x = 64,049.86 × 22,978.24
  4. Step 4: Simplify right side
    42,719.56x = 1,471,753,055.05
  5. Step 5: Solve for x
    x = 1,471,753,055.05/42,719.56
  6. Step 6: Final answer
    x = 34,451.50

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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.