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Finding the Fourth Proportional to 72,583.85, 108,820.40 and 33,113.36

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Solution

The fourth proportional to 72,583.85, 108,820.40 and 33,113.36 is: 49,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,583.85 : 108,820.40 = 33,113.36 : x
  2. Step 2: Convert to fraction form
    72,583.85/108,820.40 = 33,113.36/x
  3. Step 3: Cross multiply
    72,583.85x = 108,820.40 × 33,113.36
  4. Step 4: Simplify right side
    72,583.85x = 3,603,408,370.88
  5. Step 5: Solve for x
    x = 3,603,408,370.88/72,583.85
  6. Step 6: Final answer
    x = 49,644.77

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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.