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Finding the Fourth Proportional to 50,584.48, 69,810.45 and 27,927.84

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Solution

The fourth proportional to 50,584.48, 69,810.45 and 27,927.84 is: 38,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,584.48 : 69,810.45 = 27,927.84 : x
  2. Step 2: Convert to fraction form
    50,584.48/69,810.45 = 27,927.84/x
  3. Step 3: Cross multiply
    50,584.48x = 69,810.45 × 27,927.84
  4. Step 4: Simplify right side
    50,584.48x = 1,949,655,077.93
  5. Step 5: Solve for x
    x = 1,949,655,077.93/50,584.48
  6. Step 6: Final answer
    x = 38,542.55

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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.