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Finding the Fourth Proportional to 37,648.56, 56,472.21 and 9,185.79

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Solution

The fourth proportional to 37,648.56, 56,472.21 and 9,185.79 is: 13,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648.56 : 56,472.21 = 9,185.79 : x
  2. Step 2: Convert to fraction form
    37,648.56/56,472.21 = 9,185.79/x
  3. Step 3: Cross multiply
    37,648.56x = 56,472.21 × 9,185.79
  4. Step 4: Simplify right side
    37,648.56x = 518,741,861.90
  5. Step 5: Solve for x
    x = 518,741,861.90/37,648.56
  6. Step 6: Final answer
    x = 13,778.53

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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.