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Finding the Fourth Proportional to 68,498.94, 102,747.93 and 35,228.28

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Solution

The fourth proportional to 68,498.94, 102,747.93 and 35,228.28 is: 52,842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,498.94 : 102,747.93 = 35,228.28 : x
  2. Step 2: Convert to fraction form
    68,498.94/102,747.93 = 35,228.28/x
  3. Step 3: Cross multiply
    68,498.94x = 102,747.93 × 35,228.28
  4. Step 4: Simplify right side
    68,498.94x = 3,619,632,847.46
  5. Step 5: Solve for x
    x = 3,619,632,847.46/68,498.94
  6. Step 6: Final answer
    x = 52,842.17

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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.