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Finding the Fourth Proportional to 36,552.94, 54,752.86 and 23,338

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Solution

The fourth proportional to 36,552.94, 54,752.86 and 23,338 is: 34,958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,552.94 : 54,752.86 = 23,338 : x
  2. Step 2: Convert to fraction form
    36,552.94/54,752.86 = 23,338/x
  3. Step 3: Cross multiply
    36,552.94x = 54,752.86 × 23,338
  4. Step 4: Simplify right side
    36,552.94x = 1,277,822,246.68
  5. Step 5: Solve for x
    x = 1,277,822,246.68/36,552.94
  6. Step 6: Final answer
    x = 34,958.13

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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.