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Finding the Fourth Proportional to 67,225.20, 100,870.20 and 47,461.20

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Solution

The fourth proportional to 67,225.20, 100,870.20 and 47,461.20 is: 71,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,225.20 : 100,870.20 = 47,461.20 : x
  2. Step 2: Convert to fraction form
    67,225.20/100,870.20 = 47,461.20/x
  3. Step 3: Cross multiply
    67,225.20x = 100,870.20 × 47,461.20
  4. Step 4: Simplify right side
    67,225.20x = 4,787,420,736.24
  5. Step 5: Solve for x
    x = 4,787,420,736.24/67,225.20
  6. Step 6: Final answer
    x = 71,214.67

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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.