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Finding the Fourth Proportional to 78,324.89, 117,487.95 and 22,166.82

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Solution

The fourth proportional to 78,324.89, 117,487.95 and 22,166.82 is: 33,250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,324.89 : 117,487.95 = 22,166.82 : x
  2. Step 2: Convert to fraction form
    78,324.89/117,487.95 = 22,166.82/x
  3. Step 3: Cross multiply
    78,324.89x = 117,487.95 × 22,166.82
  4. Step 4: Simplify right side
    78,324.89x = 2,604,334,239.82
  5. Step 5: Solve for x
    x = 2,604,334,239.82/78,324.89
  6. Step 6: Final answer
    x = 33,250.41

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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.