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Finding the Fourth Proportional to 34,763.46, 47,948.09 and 22,822.44

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Solution

The fourth proportional to 34,763.46, 47,948.09 and 22,822.44 is: 31,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,763.46 : 47,948.09 = 22,822.44 : x
  2. Step 2: Convert to fraction form
    34,763.46/47,948.09 = 22,822.44/x
  3. Step 3: Cross multiply
    34,763.46x = 47,948.09 × 22,822.44
  4. Step 4: Simplify right side
    34,763.46x = 1,094,292,293.03
  5. Step 5: Solve for x
    x = 1,094,292,293.03/34,763.46
  6. Step 6: Final answer
    x = 31,478.23

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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.