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Finding the Fourth Proportional to 31,842.88, 43,944.24 and 17,696.32

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Solution

The fourth proportional to 31,842.88, 43,944.24 and 17,696.32 is: 24,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.88 : 43,944.24 = 17,696.32 : x
  2. Step 2: Convert to fraction form
    31,842.88/43,944.24 = 17,696.32/x
  3. Step 3: Cross multiply
    31,842.88x = 43,944.24 × 17,696.32
  4. Step 4: Simplify right side
    31,842.88x = 777,651,333.20
  5. Step 5: Solve for x
    x = 777,651,333.20/31,842.88
  6. Step 6: Final answer
    x = 24,421.51

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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.