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Finding the Fourth Proportional to 42,879.38, 64,341 and 20,415.47

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Solution

The fourth proportional to 42,879.38, 64,341 and 20,415.47 is: 30,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,879.38 : 64,341 = 20,415.47 : x
  2. Step 2: Convert to fraction form
    42,879.38/64,341 = 20,415.47/x
  3. Step 3: Cross multiply
    42,879.38x = 64,341 × 20,415.47
  4. Step 4: Simplify right side
    42,879.38x = 1,313,551,433.57
  5. Step 5: Solve for x
    x = 1,313,551,433.57/42,879.38
  6. Step 6: Final answer
    x = 30,633.64

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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.