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Finding the Fourth Proportional to 96,405.73, 144,649.97 and 37,282.88

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Solution

The fourth proportional to 96,405.73, 144,649.97 and 37,282.88 is: 55,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,405.73 : 144,649.97 = 37,282.88 : x
  2. Step 2: Convert to fraction form
    96,405.73/144,649.97 = 37,282.88/x
  3. Step 3: Cross multiply
    96,405.73x = 144,649.97 × 37,282.88
  4. Step 4: Simplify right side
    96,405.73x = 5,392,967,473.51
  5. Step 5: Solve for x
    x = 5,392,967,473.51/96,405.73
  6. Step 6: Final answer
    x = 55,940.32

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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.