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Finding the Fourth Proportional to 64,642.25, 96,905.97 and 25,227.05

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Solution

The fourth proportional to 64,642.25, 96,905.97 and 25,227.05 is: 37,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,642.25 : 96,905.97 = 25,227.05 : x
  2. Step 2: Convert to fraction form
    64,642.25/96,905.97 = 25,227.05/x
  3. Step 3: Cross multiply
    64,642.25x = 96,905.97 × 25,227.05
  4. Step 4: Simplify right side
    64,642.25x = 2,444,651,265.96
  5. Step 5: Solve for x
    x = 2,444,651,265.96/64,642.25
  6. Step 6: Final answer
    x = 37,818.16

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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.