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Finding the Fourth Proportional to 97,239.40, 145,841.10 and 27,104.20

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Solution

The fourth proportional to 97,239.40, 145,841.10 and 27,104.20 is: 40,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,239.40 : 145,841.10 = 27,104.20 : x
  2. Step 2: Convert to fraction form
    97,239.40/145,841.10 = 27,104.20/x
  3. Step 3: Cross multiply
    97,239.40x = 145,841.10 × 27,104.20
  4. Step 4: Simplify right side
    97,239.40x = 3,952,906,342.62
  5. Step 5: Solve for x
    x = 3,952,906,342.62/97,239.40
  6. Step 6: Final answer
    x = 40,651.28

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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.