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Finding the Fourth Proportional to 96,585.84, 144,872.39 and 33,391.26

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Solution

The fourth proportional to 96,585.84, 144,872.39 and 33,391.26 is: 50,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,585.84 : 144,872.39 = 33,391.26 : x
  2. Step 2: Convert to fraction form
    96,585.84/144,872.39 = 33,391.26/x
  3. Step 3: Cross multiply
    96,585.84x = 144,872.39 × 33,391.26
  4. Step 4: Simplify right side
    96,585.84x = 4,837,471,641.31
  5. Step 5: Solve for x
    x = 4,837,471,641.31/96,585.84
  6. Step 6: Final answer
    x = 50,084.69

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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.