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Finding the Fourth Proportional to 78,324.13, 117,486.82 and 22,166.07

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Solution

The fourth proportional to 78,324.13, 117,486.82 and 22,166.07 is: 33,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,324.13 : 117,486.82 = 22,166.07 : x
  2. Step 2: Convert to fraction form
    78,324.13/117,486.82 = 22,166.07/x
  3. Step 3: Cross multiply
    78,324.13x = 117,486.82 × 22,166.07
  4. Step 4: Simplify right side
    78,324.13x = 2,604,220,663.33
  5. Step 5: Solve for x
    x = 2,604,220,663.33/78,324.13
  6. Step 6: Final answer
    x = 33,249.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.