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Finding the Fourth Proportional to 49,851.84, 68,793.63 and 27,495.84

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Solution

The fourth proportional to 49,851.84, 68,793.63 and 27,495.84 is: 37,943.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,851.84 : 68,793.63 = 27,495.84 : x
  2. Step 2: Convert to fraction form
    49,851.84/68,793.63 = 27,495.84/x
  3. Step 3: Cross multiply
    49,851.84x = 68,793.63 × 27,495.84
  4. Step 4: Simplify right side
    49,851.84x = 1,891,538,643.50
  5. Step 5: Solve for x
    x = 1,891,538,643.50/49,851.84
  6. Step 6: Final answer
    x = 37,943.21

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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.