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Finding the Fourth Proportional to 68,486.41, 102,722.28 and 32,454.17

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Solution

The fourth proportional to 68,486.41, 102,722.28 and 32,454.17 is: 48,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,486.41 : 102,722.28 = 32,454.17 : x
  2. Step 2: Convert to fraction form
    68,486.41/102,722.28 = 32,454.17/x
  3. Step 3: Cross multiply
    68,486.41x = 102,722.28 × 32,454.17
  4. Step 4: Simplify right side
    68,486.41x = 3,333,766,087.80
  5. Step 5: Solve for x
    x = 3,333,766,087.80/68,486.41
  6. Step 6: Final answer
    x = 48,677.77

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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.