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Finding the Fourth Proportional to 48,662, 72,997.68 and 22,374.08

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Solution

The fourth proportional to 48,662, 72,997.68 and 22,374.08 is: 33,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,662 : 72,997.68 = 22,374.08 : x
  2. Step 2: Convert to fraction form
    48,662/72,997.68 = 22,374.08/x
  3. Step 3: Cross multiply
    48,662x = 72,997.68 × 22,374.08
  4. Step 4: Simplify right side
    48,662x = 1,633,255,932.13
  5. Step 5: Solve for x
    x = 1,633,255,932.13/48,662
  6. Step 6: Final answer
    x = 33,563.27

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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.