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Finding the Fourth Proportional to 48,593.10, 72,922.05 and 22,284.30

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Solution

The fourth proportional to 48,593.10, 72,922.05 and 22,284.30 is: 33,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,593.10 : 72,922.05 = 22,284.30 : x
  2. Step 2: Convert to fraction form
    48,593.10/72,922.05 = 22,284.30/x
  3. Step 3: Cross multiply
    48,593.10x = 72,922.05 × 22,284.30
  4. Step 4: Simplify right side
    48,593.10x = 1,625,016,838.82
  5. Step 5: Solve for x
    x = 1,625,016,838.82/48,593.10
  6. Step 6: Final answer
    x = 33,441.31

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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.