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Finding the Fourth Proportional to 49,976.75, 74,985.84 and 21,882.30

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Solution

The fourth proportional to 49,976.75, 74,985.84 and 21,882.30 is: 32,832.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,976.75 : 74,985.84 = 21,882.30 : x
  2. Step 2: Convert to fraction form
    49,976.75/74,985.84 = 21,882.30/x
  3. Step 3: Cross multiply
    49,976.75x = 74,985.84 × 21,882.30
  4. Step 4: Simplify right side
    49,976.75x = 1,640,862,646.63
  5. Step 5: Solve for x
    x = 1,640,862,646.63/49,976.75
  6. Step 6: Final answer
    x = 32,832.52

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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.