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Finding the Fourth Proportional to 50,000, 69,000 and 27,646.08

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Solution

The fourth proportional to 50,000, 69,000 and 27,646.08 is: 38,151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,000 : 69,000 = 27,646.08 : x
  2. Step 2: Convert to fraction form
    50,000/69,000 = 27,646.08/x
  3. Step 3: Cross multiply
    50,000x = 69,000 × 27,646.08
  4. Step 4: Simplify right side
    50,000x = 1,907,579,520.00
  5. Step 5: Solve for x
    x = 1,907,579,520.00/50,000
  6. Step 6: Final answer
    x = 38,151.59

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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.