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Finding the Fourth Proportional to 49,422.30, 74,138 and 16,142.54

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Solution

The fourth proportional to 49,422.30, 74,138 and 16,142.54 is: 24,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,422.30 : 74,138 = 16,142.54 : x
  2. Step 2: Convert to fraction form
    49,422.30/74,138 = 16,142.54/x
  3. Step 3: Cross multiply
    49,422.30x = 74,138 × 16,142.54
  4. Step 4: Simplify right side
    49,422.30x = 1,196,775,630.52
  5. Step 5: Solve for x
    x = 1,196,775,630.52/49,422.30
  6. Step 6: Final answer
    x = 24,215.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.