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Finding the Fourth Proportional to 50,489.31, 69,675.74 and 27,828.34

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Solution

The fourth proportional to 50,489.31, 69,675.74 and 27,828.34 is: 38,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,489.31 : 69,675.74 = 27,828.34 : x
  2. Step 2: Convert to fraction form
    50,489.31/69,675.74 = 27,828.34/x
  3. Step 3: Cross multiply
    50,489.31x = 69,675.74 × 27,828.34
  4. Step 4: Simplify right side
    50,489.31x = 1,938,960,182.47
  5. Step 5: Solve for x
    x = 1,938,960,182.47/50,489.31
  6. Step 6: Final answer
    x = 38,403.38

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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.