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Finding the Fourth Proportional to 64,175.25, 96,301.76 and 27,239.25

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Solution

The fourth proportional to 64,175.25, 96,301.76 and 27,239.25 is: 40,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,175.25 : 96,301.76 = 27,239.25 : x
  2. Step 2: Convert to fraction form
    64,175.25/96,301.76 = 27,239.25/x
  3. Step 3: Cross multiply
    64,175.25x = 96,301.76 × 27,239.25
  4. Step 4: Simplify right side
    64,175.25x = 2,623,187,716.08
  5. Step 5: Solve for x
    x = 2,623,187,716.08/64,175.25
  6. Step 6: Final answer
    x = 40,875.38

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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.