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Finding the Fourth Proportional to 31,768.64, 43,841.04 and 17,622.88

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Solution

The fourth proportional to 31,768.64, 43,841.04 and 17,622.88 is: 24,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,768.64 : 43,841.04 = 17,622.88 : x
  2. Step 2: Convert to fraction form
    31,768.64/43,841.04 = 17,622.88/x
  3. Step 3: Cross multiply
    31,768.64x = 43,841.04 × 17,622.88
  4. Step 4: Simplify right side
    31,768.64x = 772,605,387.00
  5. Step 5: Solve for x
    x = 772,605,387.00/31,768.64
  6. Step 6: Final answer
    x = 24,319.75

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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.