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Finding the Fourth Proportional to 68,803.98, 103,216.23 and 24,427.02

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Solution

The fourth proportional to 68,803.98, 103,216.23 and 24,427.02 is: 36,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,803.98 : 103,216.23 = 24,427.02 : x
  2. Step 2: Convert to fraction form
    68,803.98/103,216.23 = 24,427.02/x
  3. Step 3: Cross multiply
    68,803.98x = 103,216.23 × 24,427.02
  4. Step 4: Simplify right side
    68,803.98x = 2,521,264,914.53
  5. Step 5: Solve for x
    x = 2,521,264,914.53/68,803.98
  6. Step 6: Final answer
    x = 36,644.17

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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.