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Finding the Fourth Proportional to 34,943.42, 52,414.46 and 8,648.16

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Solution

The fourth proportional to 34,943.42, 52,414.46 and 8,648.16 is: 12,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,943.42 : 52,414.46 = 8,648.16 : x
  2. Step 2: Convert to fraction form
    34,943.42/52,414.46 = 8,648.16/x
  3. Step 3: Cross multiply
    34,943.42x = 52,414.46 × 8,648.16
  4. Step 4: Simplify right side
    34,943.42x = 453,288,636.39
  5. Step 5: Solve for x
    x = 453,288,636.39/34,943.42
  6. Step 6: Final answer
    x = 12,972.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.