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Finding the Fourth Proportional to 67,820.76, 101,793.24 and 34,564.68

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Solution

The fourth proportional to 67,820.76, 101,793.24 and 34,564.68 is: 51,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,820.76 : 101,793.24 = 34,564.68 : x
  2. Step 2: Convert to fraction form
    67,820.76/101,793.24 = 34,564.68/x
  3. Step 3: Cross multiply
    67,820.76x = 101,793.24 × 34,564.68
  4. Step 4: Simplify right side
    67,820.76x = 3,518,450,766.76
  5. Step 5: Solve for x
    x = 3,518,450,766.76/67,820.76
  6. Step 6: Final answer
    x = 51,878.67

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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.