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Finding the Fourth Proportional to 55,098.16, 82,614.39 and 21,823

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Solution

The fourth proportional to 55,098.16, 82,614.39 and 21,823 is: 32,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,098.16 : 82,614.39 = 21,823 : x
  2. Step 2: Convert to fraction form
    55,098.16/82,614.39 = 21,823/x
  3. Step 3: Cross multiply
    55,098.16x = 82,614.39 × 21,823
  4. Step 4: Simplify right side
    55,098.16x = 1,802,893,832.97
  5. Step 5: Solve for x
    x = 1,802,893,832.97/55,098.16
  6. Step 6: Final answer
    x = 32,721.49

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Why These Related Problems?

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