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Finding the Fourth Proportional to 68,616.86, 102,904.28 and 24,233.22

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Solution

The fourth proportional to 68,616.86, 102,904.28 and 24,233.22 is: 36,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,616.86 : 102,904.28 = 24,233.22 : x
  2. Step 2: Convert to fraction form
    68,616.86/102,904.28 = 24,233.22/x
  3. Step 3: Cross multiply
    68,616.86x = 102,904.28 × 24,233.22
  4. Step 4: Simplify right side
    68,616.86x = 2,493,702,056.18
  5. Step 5: Solve for x
    x = 2,493,702,056.18/68,616.86
  6. Step 6: Final answer
    x = 36,342.41

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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.