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Finding the Fourth Proportional to 38,871.49, 53,642.06 and 21,874.41

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Solution

The fourth proportional to 38,871.49, 53,642.06 and 21,874.41 is: 30,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,871.49 : 53,642.06 = 21,874.41 : x
  2. Step 2: Convert to fraction form
    38,871.49/53,642.06 = 21,874.41/x
  3. Step 3: Cross multiply
    38,871.49x = 53,642.06 × 21,874.41
  4. Step 4: Simplify right side
    38,871.49x = 1,173,388,413.68
  5. Step 5: Solve for x
    x = 1,173,388,413.68/38,871.49
  6. Step 6: Final answer
    x = 30,186.35

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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.