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Finding the Fourth Proportional to 50,645.93, 69,892.00 and 27,984.69

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Solution

The fourth proportional to 50,645.93, 69,892.00 and 27,984.69 is: 38,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,645.93 : 69,892.00 = 27,984.69 : x
  2. Step 2: Convert to fraction form
    50,645.93/69,892.00 = 27,984.69/x
  3. Step 3: Cross multiply
    50,645.93x = 69,892.00 × 27,984.69
  4. Step 4: Simplify right side
    50,645.93x = 1,955,905,883.52
  5. Step 5: Solve for x
    x = 1,955,905,883.52/50,645.93
  6. Step 6: Final answer
    x = 38,619.22

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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.