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Finding the Fourth Proportional to 31,893.48, 47,840.49 and 12,166.74

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Solution

The fourth proportional to 31,893.48, 47,840.49 and 12,166.74 is: 18,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.48 : 47,840.49 = 12,166.74 : x
  2. Step 2: Convert to fraction form
    31,893.48/47,840.49 = 12,166.74/x
  3. Step 3: Cross multiply
    31,893.48x = 47,840.49 × 12,166.74
  4. Step 4: Simplify right side
    31,893.48x = 582,062,803.30
  5. Step 5: Solve for x
    x = 582,062,803.30/31,893.48
  6. Step 6: Final answer
    x = 18,250.21

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1.5x scale

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.