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Finding the Fourth Proportional to 64,561, 96,845.16 and 23,008

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Solution

The fourth proportional to 64,561, 96,845.16 and 23,008 is: 34,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,561 : 96,845.16 = 23,008 : x
  2. Step 2: Convert to fraction form
    64,561/96,845.16 = 23,008/x
  3. Step 3: Cross multiply
    64,561x = 96,845.16 × 23,008
  4. Step 4: Simplify right side
    64,561x = 2,228,213,441.28
  5. Step 5: Solve for x
    x = 2,228,213,441.28/64,561
  6. Step 6: Final answer
    x = 34,513.30

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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.