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Finding the Fourth Proportional to 65,180.54, 89,949.14 and 35,372.54

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Solution

The fourth proportional to 65,180.54, 89,949.14 and 35,372.54 is: 48,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,180.54 : 89,949.14 = 35,372.54 : x
  2. Step 2: Convert to fraction form
    65,180.54/89,949.14 = 35,372.54/x
  3. Step 3: Cross multiply
    65,180.54x = 89,949.14 × 35,372.54
  4. Step 4: Simplify right side
    65,180.54x = 3,181,729,552.62
  5. Step 5: Solve for x
    x = 3,181,729,552.62/65,180.54
  6. Step 6: Final answer
    x = 48,814.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.