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Finding the Fourth Proportional to 31,062.24, 46,602 and 17,220.96

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Solution

The fourth proportional to 31,062.24, 46,602 and 17,220.96 is: 25,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,062.24 : 46,602 = 17,220.96 : x
  2. Step 2: Convert to fraction form
    31,062.24/46,602 = 17,220.96/x
  3. Step 3: Cross multiply
    31,062.24x = 46,602 × 17,220.96
  4. Step 4: Simplify right side
    31,062.24x = 802,531,177.92
  5. Step 5: Solve for x
    x = 802,531,177.92/31,062.24
  6. Step 6: Final answer
    x = 25,836.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.