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Finding the Fourth Proportional to 68,614.86, 102,901.28 and 24,231.22

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Solution

The fourth proportional to 68,614.86, 102,901.28 and 24,231.22 is: 36,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,614.86 : 102,901.28 = 24,231.22 : x
  2. Step 2: Convert to fraction form
    68,614.86/102,901.28 = 24,231.22/x
  3. Step 3: Cross multiply
    68,614.86x = 102,901.28 × 24,231.22
  4. Step 4: Simplify right side
    68,614.86x = 2,493,423,039.46
  5. Step 5: Solve for x
    x = 2,493,423,039.46/68,614.86
  6. Step 6: Final answer
    x = 36,339.40

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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.