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Finding the Fourth Proportional to 50,736.93, 70,013.75 and 27,762.09

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Solution

The fourth proportional to 50,736.93, 70,013.75 and 27,762.09 is: 38,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,736.93 : 70,013.75 = 27,762.09 : x
  2. Step 2: Convert to fraction form
    50,736.93/70,013.75 = 27,762.09/x
  3. Step 3: Cross multiply
    50,736.93x = 70,013.75 × 27,762.09
  4. Step 4: Simplify right side
    50,736.93x = 1,943,727,889.93
  5. Step 5: Solve for x
    x = 1,943,727,889.93/50,736.93
  6. Step 6: Final answer
    x = 38,309.92

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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.