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Finding the Fourth Proportional to 64,496.49, 96,782.10 and 27,053.24

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Solution

The fourth proportional to 64,496.49, 96,782.10 and 27,053.24 is: 40,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,496.49 : 96,782.10 = 27,053.24 : x
  2. Step 2: Convert to fraction form
    64,496.49/96,782.10 = 27,053.24/x
  3. Step 3: Cross multiply
    64,496.49x = 96,782.10 × 27,053.24
  4. Step 4: Simplify right side
    64,496.49x = 2,618,268,895.09
  5. Step 5: Solve for x
    x = 2,618,268,895.09/64,496.49
  6. Step 6: Final answer
    x = 40,595.53

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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.