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Finding the Fourth Proportional to 45,905.92, 68,892.08 and 16,324

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Solution

The fourth proportional to 45,905.92, 68,892.08 and 16,324 is: 24,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,905.92 : 68,892.08 = 16,324 : x
  2. Step 2: Convert to fraction form
    45,905.92/68,892.08 = 16,324/x
  3. Step 3: Cross multiply
    45,905.92x = 68,892.08 × 16,324
  4. Step 4: Simplify right side
    45,905.92x = 1,124,594,313.92
  5. Step 5: Solve for x
    x = 1,124,594,313.92/45,905.92
  6. Step 6: Final answer
    x = 24,497.81

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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.