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Finding the Fourth Proportional to 65,163.81, 89,926.06 and 35,355.81

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Solution

The fourth proportional to 65,163.81, 89,926.06 and 35,355.81 is: 48,791.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,163.81 : 89,926.06 = 35,355.81 : x
  2. Step 2: Convert to fraction form
    65,163.81/89,926.06 = 35,355.81/x
  3. Step 3: Cross multiply
    65,163.81x = 89,926.06 × 35,355.81
  4. Step 4: Simplify right side
    65,163.81x = 3,179,408,691.41
  5. Step 5: Solve for x
    x = 3,179,408,691.41/65,163.81
  6. Step 6: Final answer
    x = 48,791.02

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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.