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Finding the Fourth Proportional to 68,402.63, 102,614.21 and 24,021.59

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Solution

The fourth proportional to 68,402.63, 102,614.21 and 24,021.59 is: 36,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,402.63 : 102,614.21 = 24,021.59 : x
  2. Step 2: Convert to fraction form
    68,402.63/102,614.21 = 24,021.59/x
  3. Step 3: Cross multiply
    68,402.63x = 102,614.21 × 24,021.59
  4. Step 4: Simplify right side
    68,402.63x = 2,464,955,847.61
  5. Step 5: Solve for x
    x = 2,464,955,847.61/68,402.63
  6. Step 6: Final answer
    x = 36,035.98

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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.