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Finding the Fourth Proportional to 50,643.33, 69,842.38 and 42,173.50

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Solution

The fourth proportional to 50,643.33, 69,842.38 and 42,173.50 is: 58,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,643.33 : 69,842.38 = 42,173.50 : x
  2. Step 2: Convert to fraction form
    50,643.33/69,842.38 = 42,173.50/x
  3. Step 3: Cross multiply
    50,643.33x = 69,842.38 × 42,173.50
  4. Step 4: Simplify right side
    50,643.33x = 2,945,497,612.93
  5. Step 5: Solve for x
    x = 2,945,497,612.93/50,643.33
  6. Step 6: Final answer
    x = 58,161.61

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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.