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Finding the Fourth Proportional to 106,983.36, 160,431.04 and 32,077.12

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Solution

The fourth proportional to 106,983.36, 160,431.04 and 32,077.12 is: 48,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,983.36 : 160,431.04 = 32,077.12 : x
  2. Step 2: Convert to fraction form
    106,983.36/160,431.04 = 32,077.12/x
  3. Step 3: Cross multiply
    106,983.36x = 160,431.04 × 32,077.12
  4. Step 4: Simplify right side
    106,983.36x = 5,146,165,721.80
  5. Step 5: Solve for x
    x = 5,146,165,721.80/106,983.36
  6. Step 6: Final answer
    x = 48,102.49

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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.