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Finding the Fourth Proportional to 68,384.76, 102,625.32 and 24,014.97

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Solution

The fourth proportional to 68,384.76, 102,625.32 and 24,014.97 is: 36,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,384.76 : 102,625.32 = 24,014.97 : x
  2. Step 2: Convert to fraction form
    68,384.76/102,625.32 = 24,014.97/x
  3. Step 3: Cross multiply
    68,384.76x = 102,625.32 × 24,014.97
  4. Step 4: Simplify right side
    68,384.76x = 2,464,543,981.04
  5. Step 5: Solve for x
    x = 2,464,543,981.04/68,384.76
  6. Step 6: Final answer
    x = 36,039.37

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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.