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Finding the Fourth Proportional to 33,071.76, 49,626 and 30,564

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Solution

The fourth proportional to 33,071.76, 49,626 and 30,564 is: 45,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,071.76 : 49,626 = 30,564 : x
  2. Step 2: Convert to fraction form
    33,071.76/49,626 = 30,564/x
  3. Step 3: Cross multiply
    33,071.76x = 49,626 × 30,564
  4. Step 4: Simplify right side
    33,071.76x = 1,516,769,064
  5. Step 5: Solve for x
    x = 1,516,769,064/33,071.76
  6. Step 6: Final answer
    x = 45,862.97

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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.