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Finding the Fourth Proportional to 96,508.16, 144,791.04 and 43,874

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Solution

The fourth proportional to 96,508.16, 144,791.04 and 43,874 is: 65,824.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,508.16 : 144,791.04 = 43,874 : x
  2. Step 2: Convert to fraction form
    96,508.16/144,791.04 = 43,874/x
  3. Step 3: Cross multiply
    96,508.16x = 144,791.04 × 43,874
  4. Step 4: Simplify right side
    96,508.16x = 6,352,562,088.96
  5. Step 5: Solve for x
    x = 6,352,562,088.96/96,508.16
  6. Step 6: Final answer
    x = 65,824.09

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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.