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Finding the Fourth Proportional to 68,426.68, 102,665.52 and 41,827.24

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Solution

The fourth proportional to 68,426.68, 102,665.52 and 41,827.24 is: 62,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,426.68 : 102,665.52 = 41,827.24 : x
  2. Step 2: Convert to fraction form
    68,426.68/102,665.52 = 41,827.24/x
  3. Step 3: Cross multiply
    68,426.68x = 102,665.52 × 41,827.24
  4. Step 4: Simplify right side
    68,426.68x = 4,294,215,344.76
  5. Step 5: Solve for x
    x = 4,294,215,344.76/68,426.68
  6. Step 6: Final answer
    x = 62,756.45

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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.