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Finding the Fourth Proportional to 31,143.43, 42,958.71 and 22,193.80

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Solution

The fourth proportional to 31,143.43, 42,958.71 and 22,193.80 is: 30,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,143.43 : 42,958.71 = 22,193.80 : x
  2. Step 2: Convert to fraction form
    31,143.43/42,958.71 = 22,193.80/x
  3. Step 3: Cross multiply
    31,143.43x = 42,958.71 × 22,193.80
  4. Step 4: Simplify right side
    31,143.43x = 953,417,018.00
  5. Step 5: Solve for x
    x = 953,417,018.00/31,143.43
  6. Step 6: Final answer
    x = 30,613.74

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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.