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Finding the Fourth Proportional to 31,969.32, 44,115.84 and 17,821.68

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Solution

The fourth proportional to 31,969.32, 44,115.84 and 17,821.68 is: 24,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.32 : 44,115.84 = 17,821.68 : x
  2. Step 2: Convert to fraction form
    31,969.32/44,115.84 = 17,821.68/x
  3. Step 3: Cross multiply
    31,969.32x = 44,115.84 × 17,821.68
  4. Step 4: Simplify right side
    31,969.32x = 786,218,383.41
  5. Step 5: Solve for x
    x = 786,218,383.41/31,969.32
  6. Step 6: Final answer
    x = 24,592.90

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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.