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Finding the Fourth Proportional to 31,900.92, 44,022.34 and 17,753.46

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Solution

The fourth proportional to 31,900.92, 44,022.34 and 17,753.46 is: 24,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900.92 : 44,022.34 = 17,753.46 : x
  2. Step 2: Convert to fraction form
    31,900.92/44,022.34 = 17,753.46/x
  3. Step 3: Cross multiply
    31,900.92x = 44,022.34 × 17,753.46
  4. Step 4: Simplify right side
    31,900.92x = 781,548,632.18
  5. Step 5: Solve for x
    x = 781,548,632.18/31,900.92
  6. Step 6: Final answer
    x = 24,499.25

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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.