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Finding the Fourth Proportional to 31,201.44, 46,771.44 and 12,475.92

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Solution

The fourth proportional to 31,201.44, 46,771.44 and 12,475.92 is: 18,701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,201.44 : 46,771.44 = 12,475.92 : x
  2. Step 2: Convert to fraction form
    31,201.44/46,771.44 = 12,475.92/x
  3. Step 3: Cross multiply
    31,201.44x = 46,771.44 × 12,475.92
  4. Step 4: Simplify right side
    31,201.44x = 583,516,743.72
  5. Step 5: Solve for x
    x = 583,516,743.72/31,201.44
  6. Step 6: Final answer
    x = 18,701.60

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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.