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Finding the Fourth Proportional to 96,644.49, 144,932.01 and 33,447.47

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Solution

The fourth proportional to 96,644.49, 144,932.01 and 33,447.47 is: 50,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,644.49 : 144,932.01 = 33,447.47 : x
  2. Step 2: Convert to fraction form
    96,644.49/144,932.01 = 33,447.47/x
  3. Step 3: Cross multiply
    96,644.49x = 144,932.01 × 33,447.47
  4. Step 4: Simplify right side
    96,644.49x = 4,847,609,293.42
  5. Step 5: Solve for x
    x = 4,847,609,293.42/96,644.49
  6. Step 6: Final answer
    x = 50,159.19

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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.