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Finding the Fourth Proportional to 32,774.39, 45,202.96 and 22,432.27

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Solution

The fourth proportional to 32,774.39, 45,202.96 and 22,432.27 is: 30,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774.39 : 45,202.96 = 22,432.27 : x
  2. Step 2: Convert to fraction form
    32,774.39/45,202.96 = 22,432.27/x
  3. Step 3: Cross multiply
    32,774.39x = 45,202.96 × 22,432.27
  4. Step 4: Simplify right side
    32,774.39x = 1,014,004,932.47
  5. Step 5: Solve for x
    x = 1,014,004,932.47/32,774.39
  6. Step 6: Final answer
    x = 30,938.94

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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.