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Finding the Fourth Proportional to 33,952.52, 46,886.02 and 21,874.02

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Solution

The fourth proportional to 33,952.52, 46,886.02 and 21,874.02 is: 30,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,952.52 : 46,886.02 = 21,874.02 : x
  2. Step 2: Convert to fraction form
    33,952.52/46,886.02 = 21,874.02/x
  3. Step 3: Cross multiply
    33,952.52x = 46,886.02 × 21,874.02
  4. Step 4: Simplify right side
    33,952.52x = 1,025,585,739.20
  5. Step 5: Solve for x
    x = 1,025,585,739.20/33,952.52
  6. Step 6: Final answer
    x = 30,206.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.