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Finding the Fourth Proportional to 31,552.40, 47,288.40 and 16,768.40

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Solution

The fourth proportional to 31,552.40, 47,288.40 and 16,768.40 is: 25,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,552.40 : 47,288.40 = 16,768.40 : x
  2. Step 2: Convert to fraction form
    31,552.40/47,288.40 = 16,768.40/x
  3. Step 3: Cross multiply
    31,552.40x = 47,288.40 × 16,768.40
  4. Step 4: Simplify right side
    31,552.40x = 792,950,806.56
  5. Step 5: Solve for x
    x = 792,950,806.56/31,552.40
  6. Step 6: Final answer
    x = 25,131.24

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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.