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Finding the Fourth Proportional to 31,783.76, 43,859.64 and 17,635.76

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Solution

The fourth proportional to 31,783.76, 43,859.64 and 17,635.76 is: 24,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783.76 : 43,859.64 = 17,635.76 : x
  2. Step 2: Convert to fraction form
    31,783.76/43,859.64 = 17,635.76/x
  3. Step 3: Cross multiply
    31,783.76x = 43,859.64 × 17,635.76
  4. Step 4: Simplify right side
    31,783.76x = 773,498,084.73
  5. Step 5: Solve for x
    x = 773,498,084.73/31,783.76
  6. Step 6: Final answer
    x = 24,336.27

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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.