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Finding the Fourth Proportional to 97,838.46, 135,099.81 and 62,091.90

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Solution

The fourth proportional to 97,838.46, 135,099.81 and 62,091.90 is: 85,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,838.46 : 135,099.81 = 62,091.90 : x
  2. Step 2: Convert to fraction form
    97,838.46/135,099.81 = 62,091.90/x
  3. Step 3: Cross multiply
    97,838.46x = 135,099.81 × 62,091.90
  4. Step 4: Simplify right side
    97,838.46x = 8,388,603,892.54
  5. Step 5: Solve for x
    x = 8,388,603,892.54/97,838.46
  6. Step 6: Final answer
    x = 85,739.33

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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.