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Finding the Fourth Proportional to 97,076.71, 133,914.48 and 66,809.49

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Solution

The fourth proportional to 97,076.71, 133,914.48 and 66,809.49 is: 92,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,076.71 : 133,914.48 = 66,809.49 : x
  2. Step 2: Convert to fraction form
    97,076.71/133,914.48 = 66,809.49/x
  3. Step 3: Cross multiply
    97,076.71x = 133,914.48 × 66,809.49
  4. Step 4: Simplify right side
    97,076.71x = 8,946,757,442.84
  5. Step 5: Solve for x
    x = 8,946,757,442.84/97,076.71
  6. Step 6: Final answer
    x = 92,161.73

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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.