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Finding the Fourth Proportional to 72,228.93, 108,322.24 and 27,217.81

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Solution

The fourth proportional to 72,228.93, 108,322.24 and 27,217.81 is: 40,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,228.93 : 108,322.24 = 27,217.81 : x
  2. Step 2: Convert to fraction form
    72,228.93/108,322.24 = 27,217.81/x
  3. Step 3: Cross multiply
    72,228.93x = 108,322.24 × 27,217.81
  4. Step 4: Simplify right side
    72,228.93x = 2,948,294,147.09
  5. Step 5: Solve for x
    x = 2,948,294,147.09/72,228.93
  6. Step 6: Final answer
    x = 40,818.74

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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.