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Finding the Fourth Proportional to 31,502.34, 43,474.23 and 17,355.69

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Solution

The fourth proportional to 31,502.34, 43,474.23 and 17,355.69 is: 23,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.34 : 43,474.23 = 17,355.69 : x
  2. Step 2: Convert to fraction form
    31,502.34/43,474.23 = 17,355.69/x
  3. Step 3: Cross multiply
    31,502.34x = 43,474.23 × 17,355.69
  4. Step 4: Simplify right side
    31,502.34x = 754,525,258.87
  5. Step 5: Solve for x
    x = 754,525,258.87/31,502.34
  6. Step 6: Final answer
    x = 23,951.40

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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.