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Finding the Fourth Proportional to 68,651.84, 103,002.12 and 24,267.08

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Solution

The fourth proportional to 68,651.84, 103,002.12 and 24,267.08 is: 36,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,651.84 : 103,002.12 = 24,267.08 : x
  2. Step 2: Convert to fraction form
    68,651.84/103,002.12 = 24,267.08/x
  3. Step 3: Cross multiply
    68,651.84x = 103,002.12 × 24,267.08
  4. Step 4: Simplify right side
    68,651.84x = 2,499,560,686.21
  5. Step 5: Solve for x
    x = 2,499,560,686.21/68,651.84
  6. Step 6: Final answer
    x = 36,409.23

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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.