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Finding the Fourth Proportional to 33,215.89, 49,838.47 and 17,417.14

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Solution

The fourth proportional to 33,215.89, 49,838.47 and 17,417.14 is: 26,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,215.89 : 49,838.47 = 17,417.14 : x
  2. Step 2: Convert to fraction form
    33,215.89/49,838.47 = 17,417.14/x
  3. Step 3: Cross multiply
    33,215.89x = 49,838.47 × 17,417.14
  4. Step 4: Simplify right side
    33,215.89x = 868,043,609.38
  5. Step 5: Solve for x
    x = 868,043,609.38/33,215.89
  6. Step 6: Final answer
    x = 26,133.38

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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.