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Finding the Fourth Proportional to 100,547.43, 150,839.67 and 33,083.24

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Solution

The fourth proportional to 100,547.43, 150,839.67 and 33,083.24 is: 49,630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,547.43 : 150,839.67 = 33,083.24 : x
  2. Step 2: Convert to fraction form
    100,547.43/150,839.67 = 33,083.24/x
  3. Step 3: Cross multiply
    100,547.43x = 150,839.67 × 33,083.24
  4. Step 4: Simplify right side
    100,547.43x = 4,990,264,187.90
  5. Step 5: Solve for x
    x = 4,990,264,187.90/100,547.43
  6. Step 6: Final answer
    x = 49,630.95

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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.