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Finding the Fourth Proportional to 38,081, 52,551.78 and 21,314.12

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Solution

The fourth proportional to 38,081, 52,551.78 and 21,314.12 is: 29,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,081 : 52,551.78 = 21,314.12 : x
  2. Step 2: Convert to fraction form
    38,081/52,551.78 = 21,314.12/x
  3. Step 3: Cross multiply
    38,081x = 52,551.78 × 21,314.12
  4. Step 4: Simplify right side
    38,081x = 1,120,094,945.13
  5. Step 5: Solve for x
    x = 1,120,094,945.13/38,081
  6. Step 6: Final answer
    x = 29,413.49

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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.