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Finding the Fourth Proportional to 38,269.57, 52,803.81 and 22,346.80

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Solution

The fourth proportional to 38,269.57, 52,803.81 and 22,346.80 is: 30,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,269.57 : 52,803.81 = 22,346.80 : x
  2. Step 2: Convert to fraction form
    38,269.57/52,803.81 = 22,346.80/x
  3. Step 3: Cross multiply
    38,269.57x = 52,803.81 × 22,346.80
  4. Step 4: Simplify right side
    38,269.57x = 1,179,996,181.31
  5. Step 5: Solve for x
    x = 1,179,996,181.31/38,269.57
  6. Step 6: Final answer
    x = 30,833.80

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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.