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Finding the Fourth Proportional to 72,703.82, 108,977.97 and 33,201.74

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Solution

The fourth proportional to 72,703.82, 108,977.97 and 33,201.74 is: 49,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,703.82 : 108,977.97 = 33,201.74 : x
  2. Step 2: Convert to fraction form
    72,703.82/108,977.97 = 33,201.74/x
  3. Step 3: Cross multiply
    72,703.82x = 108,977.97 × 33,201.74
  4. Step 4: Simplify right side
    72,703.82x = 3,618,258,225.67
  5. Step 5: Solve for x
    x = 3,618,258,225.67/72,703.82
  6. Step 6: Final answer
    x = 49,767.10

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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.