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Finding the Fourth Proportional to 68,098.94, 93,905.44 and 41,231.64

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Solution

The fourth proportional to 68,098.94, 93,905.44 and 41,231.64 is: 56,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,098.94 : 93,905.44 = 41,231.64 : x
  2. Step 2: Convert to fraction form
    68,098.94/93,905.44 = 41,231.64/x
  3. Step 3: Cross multiply
    68,098.94x = 93,905.44 × 41,231.64
  4. Step 4: Simplify right side
    68,098.94x = 3,871,875,296.12
  5. Step 5: Solve for x
    x = 3,871,875,296.12/68,098.94
  6. Step 6: Final answer
    x = 56,856.62

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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.