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Finding the Fourth Proportional to 73,822.90, 110,730.48 and 21,230.32

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Solution

The fourth proportional to 73,822.90, 110,730.48 and 21,230.32 is: 31,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,822.90 : 110,730.48 = 21,230.32 : x
  2. Step 2: Convert to fraction form
    73,822.90/110,730.48 = 21,230.32/x
  3. Step 3: Cross multiply
    73,822.90x = 110,730.48 × 21,230.32
  4. Step 4: Simplify right side
    73,822.90x = 2,350,843,524.15
  5. Step 5: Solve for x
    x = 2,350,843,524.15/73,822.90
  6. Step 6: Final answer
    x = 31,844.37

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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.