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Finding the Fourth Proportional to 31,670.40, 43,705.68 and 17,331.48

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Solution

The fourth proportional to 31,670.40, 43,705.68 and 17,331.48 is: 23,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,670.40 : 43,705.68 = 17,331.48 : x
  2. Step 2: Convert to fraction form
    31,670.40/43,705.68 = 17,331.48/x
  3. Step 3: Cross multiply
    31,670.40x = 43,705.68 × 17,331.48
  4. Step 4: Simplify right side
    31,670.40x = 757,484,053.81
  5. Step 5: Solve for x
    x = 757,484,053.81/31,670.40
  6. Step 6: Final answer
    x = 23,917.73

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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.