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Finding the Fourth Proportional to 78,008.34, 107,651.38 and 42,198.24

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Solution

The fourth proportional to 78,008.34, 107,651.38 and 42,198.24 is: 58,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,008.34 : 107,651.38 = 42,198.24 : x
  2. Step 2: Convert to fraction form
    78,008.34/107,651.38 = 42,198.24/x
  3. Step 3: Cross multiply
    78,008.34x = 107,651.38 × 42,198.24
  4. Step 4: Simplify right side
    78,008.34x = 4,542,698,769.57
  5. Step 5: Solve for x
    x = 4,542,698,769.57/78,008.34
  6. Step 6: Final answer
    x = 58,233.50

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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.