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Finding the Fourth Proportional to 53,905.92, 80,807.04 and 16,944

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Solution

The fourth proportional to 53,905.92, 80,807.04 and 16,944 is: 25,399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,905.92 : 80,807.04 = 16,944 : x
  2. Step 2: Convert to fraction form
    53,905.92/80,807.04 = 16,944/x
  3. Step 3: Cross multiply
    53,905.92x = 80,807.04 × 16,944
  4. Step 4: Simplify right side
    53,905.92x = 1,369,194,485.76
  5. Step 5: Solve for x
    x = 1,369,194,485.76/53,905.92
  6. Step 6: Final answer
    x = 25,399.71

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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.