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Finding the Fourth Proportional to 72,703.32, 108,977.22 and 33,201.24

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Solution

The fourth proportional to 72,703.32, 108,977.22 and 33,201.24 is: 49,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,703.32 : 108,977.22 = 33,201.24 : x
  2. Step 2: Convert to fraction form
    72,703.32/108,977.22 = 33,201.24/x
  3. Step 3: Cross multiply
    72,703.32x = 108,977.22 × 33,201.24
  4. Step 4: Simplify right side
    72,703.32x = 3,618,178,835.75
  5. Step 5: Solve for x
    x = 3,618,178,835.75/72,703.32
  6. Step 6: Final answer
    x = 49,766.35

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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.