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Finding the Fourth Proportional to 49,670.78, 68,543.79 and 27,009.80

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Solution

The fourth proportional to 49,670.78, 68,543.79 and 27,009.80 is: 37,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,670.78 : 68,543.79 = 27,009.80 : x
  2. Step 2: Convert to fraction form
    49,670.78/68,543.79 = 27,009.80/x
  3. Step 3: Cross multiply
    49,670.78x = 68,543.79 × 27,009.80
  4. Step 4: Simplify right side
    49,670.78x = 1,851,354,059.14
  5. Step 5: Solve for x
    x = 1,851,354,059.14/49,670.78
  6. Step 6: Final answer
    x = 37,272.50

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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.