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Finding the Fourth Proportional to 96,209, 144,315.66 and 33,029

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Solution

The fourth proportional to 96,209, 144,315.66 and 33,029 is: 49,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,209 : 144,315.66 = 33,029 : x
  2. Step 2: Convert to fraction form
    96,209/144,315.66 = 33,029/x
  3. Step 3: Cross multiply
    96,209x = 144,315.66 × 33,029
  4. Step 4: Simplify right side
    96,209x = 4,766,601,934.14
  5. Step 5: Solve for x
    x = 4,766,601,934.14/96,209
  6. Step 6: Final answer
    x = 49,544.24

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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.