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Finding the Fourth Proportional to 30,542.65, 42,105.49 and 22,462.02

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Solution

The fourth proportional to 30,542.65, 42,105.49 and 22,462.02 is: 30,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.65 : 42,105.49 = 22,462.02 : x
  2. Step 2: Convert to fraction form
    30,542.65/42,105.49 = 22,462.02/x
  3. Step 3: Cross multiply
    30,542.65x = 42,105.49 × 22,462.02
  4. Step 4: Simplify right side
    30,542.65x = 945,774,302.33
  5. Step 5: Solve for x
    x = 945,774,302.33/30,542.65
  6. Step 6: Final answer
    x = 30,965.69

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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.