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Finding the Fourth Proportional to 73,297.90, 109,944.82 and 23,380.98

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Solution

The fourth proportional to 73,297.90, 109,944.82 and 23,380.98 is: 35,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,297.90 : 109,944.82 = 23,380.98 : x
  2. Step 2: Convert to fraction form
    73,297.90/109,944.82 = 23,380.98/x
  3. Step 3: Cross multiply
    73,297.90x = 109,944.82 × 23,380.98
  4. Step 4: Simplify right side
    73,297.90x = 2,570,617,637.52
  5. Step 5: Solve for x
    x = 2,570,617,637.52/73,297.90
  6. Step 6: Final answer
    x = 35,070.82

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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.