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Finding the Fourth Proportional to 37,728.51, 52,062.24 and 21,813.90

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Solution

The fourth proportional to 37,728.51, 52,062.24 and 21,813.90 is: 30,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,728.51 : 52,062.24 = 21,813.90 : x
  2. Step 2: Convert to fraction form
    37,728.51/52,062.24 = 21,813.90/x
  3. Step 3: Cross multiply
    37,728.51x = 52,062.24 × 21,813.90
  4. Step 4: Simplify right side
    37,728.51x = 1,135,680,497.14
  5. Step 5: Solve for x
    x = 1,135,680,497.14/37,728.51
  6. Step 6: Final answer
    x = 30,101.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.