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Finding the Fourth Proportional to 77,324.22, 106,922.16 and 61,381.02

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Solution

The fourth proportional to 77,324.22, 106,922.16 and 61,381.02 is: 84,876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,324.22 : 106,922.16 = 61,381.02 : x
  2. Step 2: Convert to fraction form
    77,324.22/106,922.16 = 61,381.02/x
  3. Step 3: Cross multiply
    77,324.22x = 106,922.16 × 61,381.02
  4. Step 4: Simplify right side
    77,324.22x = 6,562,991,241.40
  5. Step 5: Solve for x
    x = 6,562,991,241.40/77,324.22
  6. Step 6: Final answer
    x = 84,876.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.