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Finding the Fourth Proportional to 31,762.92, 43,832.16 and 17,615.46

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Solution

The fourth proportional to 31,762.92, 43,832.16 and 17,615.46 is: 24,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.92 : 43,832.16 = 17,615.46 : x
  2. Step 2: Convert to fraction form
    31,762.92/43,832.16 = 17,615.46/x
  3. Step 3: Cross multiply
    31,762.92x = 43,832.16 × 17,615.46
  4. Step 4: Simplify right side
    31,762.92x = 772,123,661.19
  5. Step 5: Solve for x
    x = 772,123,661.19/31,762.92
  6. Step 6: Final answer
    x = 24,308.96

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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.