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Finding the Fourth Proportional to 31,643.32, 43,667.22 and 17,497.48

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Solution

The fourth proportional to 31,643.32, 43,667.22 and 17,497.48 is: 24,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.32 : 43,667.22 = 17,497.48 : x
  2. Step 2: Convert to fraction form
    31,643.32/43,667.22 = 17,497.48/x
  3. Step 3: Cross multiply
    31,643.32x = 43,667.22 × 17,497.48
  4. Step 4: Simplify right side
    31,643.32x = 764,066,308.61
  5. Step 5: Solve for x
    x = 764,066,308.61/31,643.32
  6. Step 6: Final answer
    x = 24,146.21

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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.