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Finding the Fourth Proportional to 31,765.16, 43,836.18 and 17,618.24

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Solution

The fourth proportional to 31,765.16, 43,836.18 and 17,618.24 is: 24,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,765.16 : 43,836.18 = 17,618.24 : x
  2. Step 2: Convert to fraction form
    31,765.16/43,836.18 = 17,618.24/x
  3. Step 3: Cross multiply
    31,765.16x = 43,836.18 × 17,618.24
  4. Step 4: Simplify right side
    31,765.16x = 772,316,339.92
  5. Step 5: Solve for x
    x = 772,316,339.92/31,765.16
  6. Step 6: Final answer
    x = 24,313.31

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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.