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Finding the Fourth Proportional to 96,481.51, 144,736.28 and 29,927

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Solution

The fourth proportional to 96,481.51, 144,736.28 and 29,927 is: 44,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,481.51 : 144,736.28 = 29,927 : x
  2. Step 2: Convert to fraction form
    96,481.51/144,736.28 = 29,927/x
  3. Step 3: Cross multiply
    96,481.51x = 144,736.28 × 29,927
  4. Step 4: Simplify right side
    96,481.51x = 4,331,522,651.56
  5. Step 5: Solve for x
    x = 4,331,522,651.56/96,481.51
  6. Step 6: Final answer
    x = 44,894.85

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1.5x scale

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.