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Finding the Fourth Proportional to 43,877.63, 65,774.92 and 27,021

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Solution

The fourth proportional to 43,877.63, 65,774.92 and 27,021 is: 40,505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,877.63 : 65,774.92 = 27,021 : x
  2. Step 2: Convert to fraction form
    43,877.63/65,774.92 = 27,021/x
  3. Step 3: Cross multiply
    43,877.63x = 65,774.92 × 27,021
  4. Step 4: Simplify right side
    43,877.63x = 1,777,304,113.32
  5. Step 5: Solve for x
    x = 1,777,304,113.32/43,877.63
  6. Step 6: Final answer
    x = 40,505.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.