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Finding the Fourth Proportional to 71,735.72, 98,995.62 and 39,905

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Solution

The fourth proportional to 71,735.72, 98,995.62 and 39,905 is: 55,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,735.72 : 98,995.62 = 39,905 : x
  2. Step 2: Convert to fraction form
    71,735.72/98,995.62 = 39,905/x
  3. Step 3: Cross multiply
    71,735.72x = 98,995.62 × 39,905
  4. Step 4: Simplify right side
    71,735.72x = 3,950,420,216.10
  5. Step 5: Solve for x
    x = 3,950,420,216.10/71,735.72
  6. Step 6: Final answer
    x = 55,069.08

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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.