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Finding the Fourth Proportional to 34,742.49, 52,113.02 and 8,447.37

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Solution

The fourth proportional to 34,742.49, 52,113.02 and 8,447.37 is: 12,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,742.49 : 52,113.02 = 8,447.37 : x
  2. Step 2: Convert to fraction form
    34,742.49/52,113.02 = 8,447.37/x
  3. Step 3: Cross multiply
    34,742.49x = 52,113.02 × 8,447.37
  4. Step 4: Simplify right side
    34,742.49x = 440,217,919.52
  5. Step 5: Solve for x
    x = 440,217,919.52/34,742.49
  6. Step 6: Final answer
    x = 12,670.88

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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.