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Finding the Fourth Proportional to 31,178.72, 46,790.63 and 12,463.98

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Solution

The fourth proportional to 31,178.72, 46,790.63 and 12,463.98 is: 18,704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.72 : 46,790.63 = 12,463.98 : x
  2. Step 2: Convert to fraction form
    31,178.72/46,790.63 = 12,463.98/x
  3. Step 3: Cross multiply
    31,178.72x = 46,790.63 × 12,463.98
  4. Step 4: Simplify right side
    31,178.72x = 583,197,375.92
  5. Step 5: Solve for x
    x = 583,197,375.92/31,178.72
  6. Step 6: Final answer
    x = 18,704.98

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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.