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Finding the Fourth Proportional to 64,496.30, 96,781.82 and 27,053.04

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Solution

The fourth proportional to 64,496.30, 96,781.82 and 27,053.04 is: 40,595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,496.30 : 96,781.82 = 27,053.04 : x
  2. Step 2: Convert to fraction form
    64,496.30/96,781.82 = 27,053.04/x
  3. Step 3: Cross multiply
    64,496.30x = 96,781.82 × 27,053.04
  4. Step 4: Simplify right side
    64,496.30x = 2,618,242,447.73
  5. Step 5: Solve for x
    x = 2,618,242,447.73/64,496.30
  6. Step 6: Final answer
    x = 40,595.23

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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.