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Finding the Fourth Proportional to 31,765.64, 43,838.28 and 17,618.12

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Solution

The fourth proportional to 31,765.64, 43,838.28 and 17,618.12 is: 24,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,765.64 : 43,838.28 = 17,618.12 : x
  2. Step 2: Convert to fraction form
    31,765.64/43,838.28 = 17,618.12/x
  3. Step 3: Cross multiply
    31,765.64x = 43,838.28 × 17,618.12
  4. Step 4: Simplify right side
    31,765.64x = 772,348,077.63
  5. Step 5: Solve for x
    x = 772,348,077.63/31,765.64
  6. Step 6: Final answer
    x = 24,313.95

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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.