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Finding the Fourth Proportional to 31,764.34, 43,830.12 and 17,617.30

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Solution

The fourth proportional to 31,764.34, 43,830.12 and 17,617.30 is: 24,309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,764.34 : 43,830.12 = 17,617.30 : x
  2. Step 2: Convert to fraction form
    31,764.34/43,830.12 = 17,617.30/x
  3. Step 3: Cross multiply
    31,764.34x = 43,830.12 × 17,617.30
  4. Step 4: Simplify right side
    31,764.34x = 772,168,373.08
  5. Step 5: Solve for x
    x = 772,168,373.08/31,764.34
  6. Step 6: Final answer
    x = 24,309.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.