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Finding the Fourth Proportional to 30,822.39, 42,523.49 and 22,775.45

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Solution

The fourth proportional to 30,822.39, 42,523.49 and 22,775.45 is: 31,421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.39 : 42,523.49 = 22,775.45 : x
  2. Step 2: Convert to fraction form
    30,822.39/42,523.49 = 22,775.45/x
  3. Step 3: Cross multiply
    30,822.39x = 42,523.49 × 22,775.45
  4. Step 4: Simplify right side
    30,822.39x = 968,491,620.32
  5. Step 5: Solve for x
    x = 968,491,620.32/30,822.39
  6. Step 6: Final answer
    x = 31,421.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.