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Finding the Fourth Proportional to 72,467.78, 108,717.83 and 29,773.22

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Solution

The fourth proportional to 72,467.78, 108,717.83 and 29,773.22 is: 44,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,467.78 : 108,717.83 = 29,773.22 : x
  2. Step 2: Convert to fraction form
    72,467.78/108,717.83 = 29,773.22/x
  3. Step 3: Cross multiply
    72,467.78x = 108,717.83 × 29,773.22
  4. Step 4: Simplify right side
    72,467.78x = 3,236,879,178.06
  5. Step 5: Solve for x
    x = 3,236,879,178.06/72,467.78
  6. Step 6: Final answer
    x = 44,666.46

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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.