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Finding the Fourth Proportional to 38,681.34, 53,380.34 and 21,914.34

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Solution

The fourth proportional to 38,681.34, 53,380.34 and 21,914.34 is: 30,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,681.34 : 53,380.34 = 21,914.34 : x
  2. Step 2: Convert to fraction form
    38,681.34/53,380.34 = 21,914.34/x
  3. Step 3: Cross multiply
    38,681.34x = 53,380.34 × 21,914.34
  4. Step 4: Simplify right side
    38,681.34x = 1,169,794,920.08
  5. Step 5: Solve for x
    x = 1,169,794,920.08/38,681.34
  6. Step 6: Final answer
    x = 30,241.84

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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.