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Finding the Fourth Proportional to 37,648.49, 56,474.63 and 9,568.82

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Solution

The fourth proportional to 37,648.49, 56,474.63 and 9,568.82 is: 14,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648.49 : 56,474.63 = 9,568.82 : x
  2. Step 2: Convert to fraction form
    37,648.49/56,474.63 = 9,568.82/x
  3. Step 3: Cross multiply
    37,648.49x = 56,474.63 × 9,568.82
  4. Step 4: Simplify right side
    37,648.49x = 540,395,238.82
  5. Step 5: Solve for x
    x = 540,395,238.82/37,648.49
  6. Step 6: Final answer
    x = 14,353.70

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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.