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Finding the Fourth Proportional to 97,197.33, 145,796 and 27,076.44

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Solution

The fourth proportional to 97,197.33, 145,796 and 27,076.44 is: 40,614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,197.33 : 145,796 = 27,076.44 : x
  2. Step 2: Convert to fraction form
    97,197.33/145,796 = 27,076.44/x
  3. Step 3: Cross multiply
    97,197.33x = 145,796 × 27,076.44
  4. Step 4: Simplify right side
    97,197.33x = 3,947,636,646.24
  5. Step 5: Solve for x
    x = 3,947,636,646.24/97,197.33
  6. Step 6: Final answer
    x = 40,614.66

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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.