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Finding the Fourth Proportional to 50,460.69, 69,633.16 and 27,799.19

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Solution

The fourth proportional to 50,460.69, 69,633.16 and 27,799.19 is: 38,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,460.69 : 69,633.16 = 27,799.19 : x
  2. Step 2: Convert to fraction form
    50,460.69/69,633.16 = 27,799.19/x
  3. Step 3: Cross multiply
    50,460.69x = 69,633.16 × 27,799.19
  4. Step 4: Simplify right side
    50,460.69x = 1,935,745,445.14
  5. Step 5: Solve for x
    x = 1,935,745,445.14/50,460.69
  6. Step 6: Final answer
    x = 38,361.45

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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.