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Finding the Fourth Proportional to 65,864.33, 90,892.67 and 35,649.64

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Solution

The fourth proportional to 65,864.33, 90,892.67 and 35,649.64 is: 49,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,864.33 : 90,892.67 = 35,649.64 : x
  2. Step 2: Convert to fraction form
    65,864.33/90,892.67 = 35,649.64/x
  3. Step 3: Cross multiply
    65,864.33x = 90,892.67 × 35,649.64
  4. Step 4: Simplify right side
    65,864.33x = 3,240,290,558.66
  5. Step 5: Solve for x
    x = 3,240,290,558.66/65,864.33
  6. Step 6: Final answer
    x = 49,196.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.