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Finding the Fourth Proportional to 50,196.71, 69,271.48 and 27,840.71

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Solution

The fourth proportional to 50,196.71, 69,271.48 and 27,840.71 is: 38,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,196.71 : 69,271.48 = 27,840.71 : x
  2. Step 2: Convert to fraction form
    50,196.71/69,271.48 = 27,840.71/x
  3. Step 3: Cross multiply
    50,196.71x = 69,271.48 × 27,840.71
  4. Step 4: Simplify right side
    50,196.71x = 1,928,566,769.99
  5. Step 5: Solve for x
    x = 1,928,566,769.99/50,196.71
  6. Step 6: Final answer
    x = 38,420.19

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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.