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Finding the Fourth Proportional to 34,797.90, 52,196.60 and 8,502.40

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Solution

The fourth proportional to 34,797.90, 52,196.60 and 8,502.40 is: 12,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,797.90 : 52,196.60 = 8,502.40 : x
  2. Step 2: Convert to fraction form
    34,797.90/52,196.60 = 8,502.40/x
  3. Step 3: Cross multiply
    34,797.90x = 52,196.60 × 8,502.40
  4. Step 4: Simplify right side
    34,797.90x = 443,796,371.84
  5. Step 5: Solve for x
    x = 443,796,371.84/34,797.90
  6. Step 6: Final answer
    x = 12,753.54

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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.