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Finding the Fourth Proportional to 34,241.84, 47,197.28 and 22,907.31

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Solution

The fourth proportional to 34,241.84, 47,197.28 and 22,907.31 is: 31,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,241.84 : 47,197.28 = 22,907.31 : x
  2. Step 2: Convert to fraction form
    34,241.84/47,197.28 = 22,907.31/x
  3. Step 3: Cross multiply
    34,241.84x = 47,197.28 × 22,907.31
  4. Step 4: Simplify right side
    34,241.84x = 1,081,162,604.40
  5. Step 5: Solve for x
    x = 1,081,162,604.40/34,241.84
  6. Step 6: Final answer
    x = 31,574.32

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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.