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Finding the Fourth Proportional to 72,183.58, 108,287.05 and 22,252.00

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Solution

The fourth proportional to 72,183.58, 108,287.05 and 22,252.00 is: 33,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,183.58 : 108,287.05 = 22,252.00 : x
  2. Step 2: Convert to fraction form
    72,183.58/108,287.05 = 22,252.00/x
  3. Step 3: Cross multiply
    72,183.58x = 108,287.05 × 22,252.00
  4. Step 4: Simplify right side
    72,183.58x = 2,409,602,783.90
  5. Step 5: Solve for x
    x = 2,409,602,783.90/72,183.58
  6. Step 6: Final answer
    x = 33,381.59

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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.