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Finding the Fourth Proportional to 31,745.87, 43,809.80 and 17,407.01

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Solution

The fourth proportional to 31,745.87, 43,809.80 and 17,407.01 is: 24,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.87 : 43,809.80 = 17,407.01 : x
  2. Step 2: Convert to fraction form
    31,745.87/43,809.80 = 17,407.01/x
  3. Step 3: Cross multiply
    31,745.87x = 43,809.80 × 17,407.01
  4. Step 4: Simplify right side
    31,745.87x = 762,597,590.54
  5. Step 5: Solve for x
    x = 762,597,590.54/31,745.87
  6. Step 6: Final answer
    x = 24,021.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.