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Finding the Fourth Proportional to 48,906.64, 73,315.92 and 17,720

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Solution

The fourth proportional to 48,906.64, 73,315.92 and 17,720 is: 26,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,906.64 : 73,315.92 = 17,720 : x
  2. Step 2: Convert to fraction form
    48,906.64/73,315.92 = 17,720/x
  3. Step 3: Cross multiply
    48,906.64x = 73,315.92 × 17,720
  4. Step 4: Simplify right side
    48,906.64x = 1,299,158,102.40
  5. Step 5: Solve for x
    x = 1,299,158,102.40/48,906.64
  6. Step 6: Final answer
    x = 26,564.04

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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.