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Finding the Fourth Proportional to 96,043.29, 144,138.45 and 43,489.68

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Solution

The fourth proportional to 96,043.29, 144,138.45 and 43,489.68 is: 65,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,043.29 : 144,138.45 = 43,489.68 : x
  2. Step 2: Convert to fraction form
    96,043.29/144,138.45 = 43,489.68/x
  3. Step 3: Cross multiply
    96,043.29x = 144,138.45 × 43,489.68
  4. Step 4: Simplify right side
    96,043.29x = 6,268,535,066.20
  5. Step 5: Solve for x
    x = 6,268,535,066.20/96,043.29
  6. Step 6: Final answer
    x = 65,267.81

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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.