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Finding the Fourth Proportional to 31,365.68, 47,012.72 and 12,633.72

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Solution

The fourth proportional to 31,365.68, 47,012.72 and 12,633.72 is: 18,936.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,365.68 : 47,012.72 = 12,633.72 : x
  2. Step 2: Convert to fraction form
    31,365.68/47,012.72 = 12,633.72/x
  3. Step 3: Cross multiply
    31,365.68x = 47,012.72 × 12,633.72
  4. Step 4: Simplify right side
    31,365.68x = 593,945,572.50
  5. Step 5: Solve for x
    x = 593,945,572.50/31,365.68
  6. Step 6: Final answer
    x = 18,936.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.