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Finding the Fourth Proportional to 50,349.78, 69,483.30 and 27,691.23

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Solution

The fourth proportional to 50,349.78, 69,483.30 and 27,691.23 is: 38,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,349.78 : 69,483.30 = 27,691.23 : x
  2. Step 2: Convert to fraction form
    50,349.78/69,483.30 = 27,691.23/x
  3. Step 3: Cross multiply
    50,349.78x = 69,483.30 × 27,691.23
  4. Step 4: Simplify right side
    50,349.78x = 1,924,078,041.46
  5. Step 5: Solve for x
    x = 1,924,078,041.46/50,349.78
  6. Step 6: Final answer
    x = 38,214.23

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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.