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Finding the Fourth Proportional to 73,384.21, 110,092.07 and 22,782.21

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Solution

The fourth proportional to 73,384.21, 110,092.07 and 22,782.21 is: 34,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,384.21 : 110,092.07 = 22,782.21 : x
  2. Step 2: Convert to fraction form
    73,384.21/110,092.07 = 22,782.21/x
  3. Step 3: Cross multiply
    73,384.21x = 110,092.07 × 22,782.21
  4. Step 4: Simplify right side
    73,384.21x = 2,508,140,658.07
  5. Step 5: Solve for x
    x = 2,508,140,658.07/73,384.21
  6. Step 6: Final answer
    x = 34,178.21

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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.