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Finding the Fourth Proportional to 49,027.56, 73,490.14 and 24,033

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Solution

The fourth proportional to 49,027.56, 73,490.14 and 24,033 is: 36,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,027.56 : 73,490.14 = 24,033 : x
  2. Step 2: Convert to fraction form
    49,027.56/73,490.14 = 24,033/x
  3. Step 3: Cross multiply
    49,027.56x = 73,490.14 × 24,033
  4. Step 4: Simplify right side
    49,027.56x = 1,766,188,534.62
  5. Step 5: Solve for x
    x = 1,766,188,534.62/49,027.56
  6. Step 6: Final answer
    x = 36,024.40

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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.