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Finding the Fourth Proportional to 97,695, 146,548.71 and 27,579.78

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Solution

The fourth proportional to 97,695, 146,548.71 and 27,579.78 is: 41,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,695 : 146,548.71 = 27,579.78 : x
  2. Step 2: Convert to fraction form
    97,695/146,548.71 = 27,579.78/x
  3. Step 3: Cross multiply
    97,695x = 146,548.71 × 27,579.78
  4. Step 4: Simplify right side
    97,695x = 4,041,781,181.08
  5. Step 5: Solve for x
    x = 4,041,781,181.08/97,695
  6. Step 6: Final answer
    x = 41,371.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.