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Finding the Fourth Proportional to 31,161.52, 42,941.10 and 22,193.20

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Solution

The fourth proportional to 31,161.52, 42,941.10 and 22,193.20 is: 30,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,161.52 : 42,941.10 = 22,193.20 : x
  2. Step 2: Convert to fraction form
    31,161.52/42,941.10 = 22,193.20/x
  3. Step 3: Cross multiply
    31,161.52x = 42,941.10 × 22,193.20
  4. Step 4: Simplify right side
    31,161.52x = 953,000,420.52
  5. Step 5: Solve for x
    x = 953,000,420.52/31,161.52
  6. Step 6: Final answer
    x = 30,582.60

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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.