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Finding the Fourth Proportional to 68,066, 102,099 and 26,542.16

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Solution

The fourth proportional to 68,066, 102,099 and 26,542.16 is: 39,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,066 : 102,099 = 26,542.16 : x
  2. Step 2: Convert to fraction form
    68,066/102,099 = 26,542.16/x
  3. Step 3: Cross multiply
    68,066x = 102,099 × 26,542.16
  4. Step 4: Simplify right side
    68,066x = 2,709,927,993.84
  5. Step 5: Solve for x
    x = 2,709,927,993.84/68,066
  6. Step 6: Final answer
    x = 39,813.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.