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Finding the Fourth Proportional to 72,183.66, 108,280.95 and 19,597.24

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Solution

The fourth proportional to 72,183.66, 108,280.95 and 19,597.24 is: 29,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,183.66 : 108,280.95 = 19,597.24 : x
  2. Step 2: Convert to fraction form
    72,183.66/108,280.95 = 19,597.24/x
  3. Step 3: Cross multiply
    72,183.66x = 108,280.95 × 19,597.24
  4. Step 4: Simplify right side
    72,183.66x = 2,122,007,764.58
  5. Step 5: Solve for x
    x = 2,122,007,764.58/72,183.66
  6. Step 6: Final answer
    x = 29,397.34

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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.