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Finding the Fourth Proportional to 50,302.49, 69,419.16 and 27,643.59

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Solution

The fourth proportional to 50,302.49, 69,419.16 and 27,643.59 is: 38,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,302.49 : 69,419.16 = 27,643.59 : x
  2. Step 2: Convert to fraction form
    50,302.49/69,419.16 = 27,643.59/x
  3. Step 3: Cross multiply
    50,302.49x = 69,419.16 × 27,643.59
  4. Step 4: Simplify right side
    50,302.49x = 1,918,994,797.18
  5. Step 5: Solve for x
    x = 1,918,994,797.18/50,302.49
  6. Step 6: Final answer
    x = 38,149.11

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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.