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Finding the Fourth Proportional to 96,536.53, 144,799.53 and 26,410.78

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Solution

The fourth proportional to 96,536.53, 144,799.53 and 26,410.78 is: 39,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,536.53 : 144,799.53 = 26,410.78 : x
  2. Step 2: Convert to fraction form
    96,536.53/144,799.53 = 26,410.78/x
  3. Step 3: Cross multiply
    96,536.53x = 144,799.53 × 26,410.78
  4. Step 4: Simplify right side
    96,536.53x = 3,824,268,530.93
  5. Step 5: Solve for x
    x = 3,824,268,530.93/96,536.53
  6. Step 6: Final answer
    x = 39,614.73

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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.