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Finding the Fourth Proportional to 30,296.88, 41,812.93 and 17,732.16

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Solution

The fourth proportional to 30,296.88, 41,812.93 and 17,732.16 is: 24,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.88 : 41,812.93 = 17,732.16 : x
  2. Step 2: Convert to fraction form
    30,296.88/41,812.93 = 17,732.16/x
  3. Step 3: Cross multiply
    30,296.88x = 41,812.93 × 17,732.16
  4. Step 4: Simplify right side
    30,296.88x = 741,433,564.83
  5. Step 5: Solve for x
    x = 741,433,564.83/30,296.88
  6. Step 6: Final answer
    x = 24,472.27

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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.