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Finding the Fourth Proportional to 68,387.89, 102,627.66 and 24,014.80

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Solution

The fourth proportional to 68,387.89, 102,627.66 and 24,014.80 is: 36,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,387.89 : 102,627.66 = 24,014.80 : x
  2. Step 2: Convert to fraction form
    68,387.89/102,627.66 = 24,014.80/x
  3. Step 3: Cross multiply
    68,387.89x = 102,627.66 × 24,014.80
  4. Step 4: Simplify right side
    68,387.89x = 2,464,582,729.37
  5. Step 5: Solve for x
    x = 2,464,582,729.37/68,387.89
  6. Step 6: Final answer
    x = 36,038.29

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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.