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Finding the Fourth Proportional to 68,205.68, 102,242.40 and 34,941.44

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Solution

The fourth proportional to 68,205.68, 102,242.40 and 34,941.44 is: 52,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,205.68 : 102,242.40 = 34,941.44 : x
  2. Step 2: Convert to fraction form
    68,205.68/102,242.40 = 34,941.44/x
  3. Step 3: Cross multiply
    68,205.68x = 102,242.40 × 34,941.44
  4. Step 4: Simplify right side
    68,205.68x = 3,572,496,685.06
  5. Step 5: Solve for x
    x = 3,572,496,685.06/68,205.68
  6. Step 6: Final answer
    x = 52,378.29

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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.