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Finding the Fourth Proportional to 67,820.76, 101,745.11 and 23,441.67

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Solution

The fourth proportional to 67,820.76, 101,745.11 and 23,441.67 is: 35,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,820.76 : 101,745.11 = 23,441.67 : x
  2. Step 2: Convert to fraction form
    67,820.76/101,745.11 = 23,441.67/x
  3. Step 3: Cross multiply
    67,820.76x = 101,745.11 × 23,441.67
  4. Step 4: Simplify right side
    67,820.76x = 2,385,075,351.34
  5. Step 5: Solve for x
    x = 2,385,075,351.34/67,820.76
  6. Step 6: Final answer
    x = 35,167.33

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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.