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Finding the Fourth Proportional to 71,648.16, 98,872.47 and 39,816.24

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Solution

The fourth proportional to 71,648.16, 98,872.47 and 39,816.24 is: 54,945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,648.16 : 98,872.47 = 39,816.24 : x
  2. Step 2: Convert to fraction form
    71,648.16/98,872.47 = 39,816.24/x
  3. Step 3: Cross multiply
    71,648.16x = 98,872.47 × 39,816.24
  4. Step 4: Simplify right side
    71,648.16x = 3,936,729,994.91
  5. Step 5: Solve for x
    x = 3,936,729,994.91/71,648.16
  6. Step 6: Final answer
    x = 54,945.30

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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.