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Finding the Fourth Proportional to 30,432.50, 41,930.02 and 22,743.57

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Solution

The fourth proportional to 30,432.50, 41,930.02 and 22,743.57 is: 31,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,432.50 : 41,930.02 = 22,743.57 : x
  2. Step 2: Convert to fraction form
    30,432.50/41,930.02 = 22,743.57/x
  3. Step 3: Cross multiply
    30,432.50x = 41,930.02 × 22,743.57
  4. Step 4: Simplify right side
    30,432.50x = 953,638,344.97
  5. Step 5: Solve for x
    x = 953,638,344.97/30,432.50
  6. Step 6: Final answer
    x = 31,336.18

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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.