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Finding the Fourth Proportional to 39,916.66, 55,083.72 and 22,012

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Solution

The fourth proportional to 39,916.66, 55,083.72 and 22,012 is: 30,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,916.66 : 55,083.72 = 22,012 : x
  2. Step 2: Convert to fraction form
    39,916.66/55,083.72 = 22,012/x
  3. Step 3: Cross multiply
    39,916.66x = 55,083.72 × 22,012
  4. Step 4: Simplify right side
    39,916.66x = 1,212,502,844.64
  5. Step 5: Solve for x
    x = 1,212,502,844.64/39,916.66
  6. Step 6: Final answer
    x = 30,375.86

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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.