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Finding the Fourth Proportional to 31,583.03, 47,360.67 and 11,847.74

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Solution

The fourth proportional to 31,583.03, 47,360.67 and 11,847.74 is: 17,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,583.03 : 47,360.67 = 11,847.74 : x
  2. Step 2: Convert to fraction form
    31,583.03/47,360.67 = 11,847.74/x
  3. Step 3: Cross multiply
    31,583.03x = 47,360.67 × 11,847.74
  4. Step 4: Simplify right side
    31,583.03x = 561,117,022.79
  5. Step 5: Solve for x
    x = 561,117,022.79/31,583.03
  6. Step 6: Final answer
    x = 17,766.41

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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.