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Finding the Fourth Proportional to 30,791.42, 42,468 and 22,294.82

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Solution

The fourth proportional to 30,791.42, 42,468 and 22,294.82 is: 30,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,791.42 : 42,468 = 22,294.82 : x
  2. Step 2: Convert to fraction form
    30,791.42/42,468 = 22,294.82/x
  3. Step 3: Cross multiply
    30,791.42x = 42,468 × 22,294.82
  4. Step 4: Simplify right side
    30,791.42x = 946,816,415.76
  5. Step 5: Solve for x
    x = 946,816,415.76/30,791.42
  6. Step 6: Final answer
    x = 30,749.36

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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.