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Finding the Fourth Proportional to 37,745.64, 56,633.98 and 16,674.56

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Solution

The fourth proportional to 37,745.64, 56,633.98 and 16,674.56 is: 25,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,745.64 : 56,633.98 = 16,674.56 : x
  2. Step 2: Convert to fraction form
    37,745.64/56,633.98 = 16,674.56/x
  3. Step 3: Cross multiply
    37,745.64x = 56,633.98 × 16,674.56
  4. Step 4: Simplify right side
    37,745.64x = 944,346,697.55
  5. Step 5: Solve for x
    x = 944,346,697.55/37,745.64
  6. Step 6: Final answer
    x = 25,018.70

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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.