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Finding the Fourth Proportional to 64,161.72, 96,232.86 and 22,599

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Solution

The fourth proportional to 64,161.72, 96,232.86 and 22,599 is: 33,895.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,161.72 : 96,232.86 = 22,599 : x
  2. Step 2: Convert to fraction form
    64,161.72/96,232.86 = 22,599/x
  3. Step 3: Cross multiply
    64,161.72x = 96,232.86 × 22,599
  4. Step 4: Simplify right side
    64,161.72x = 2,174,766,403.14
  5. Step 5: Solve for x
    x = 2,174,766,403.14/64,161.72
  6. Step 6: Final answer
    x = 33,895.08

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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.