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Finding the Fourth Proportional to 49,598, 68,445.24 and 27,242

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Solution

The fourth proportional to 49,598, 68,445.24 and 27,242 is: 37,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,598 : 68,445.24 = 27,242 : x
  2. Step 2: Convert to fraction form
    49,598/68,445.24 = 27,242/x
  3. Step 3: Cross multiply
    49,598x = 68,445.24 × 27,242
  4. Step 4: Simplify right side
    49,598x = 1,864,585,228.08
  5. Step 5: Solve for x
    x = 1,864,585,228.08/49,598
  6. Step 6: Final answer
    x = 37,593.96

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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.