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Finding the Fourth Proportional to 78,005.34, 107,647.25 and 42,195.24

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Solution

The fourth proportional to 78,005.34, 107,647.25 and 42,195.24 is: 58,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,005.34 : 107,647.25 = 42,195.24 : x
  2. Step 2: Convert to fraction form
    78,005.34/107,647.25 = 42,195.24/x
  3. Step 3: Cross multiply
    78,005.34x = 107,647.25 × 42,195.24
  4. Step 4: Simplify right side
    78,005.34x = 4,542,201,338.11
  5. Step 5: Solve for x
    x = 4,542,201,338.11/78,005.34
  6. Step 6: Final answer
    x = 58,229.36

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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.