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Finding the Fourth Proportional to 49,181, 67,869.78 and 26,825

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Solution

The fourth proportional to 49,181, 67,869.78 and 26,825 is: 37,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,181 : 67,869.78 = 26,825 : x
  2. Step 2: Convert to fraction form
    49,181/67,869.78 = 26,825/x
  3. Step 3: Cross multiply
    49,181x = 67,869.78 × 26,825
  4. Step 4: Simplify right side
    49,181x = 1,820,606,848.50
  5. Step 5: Solve for x
    x = 1,820,606,848.50/49,181
  6. Step 6: Final answer
    x = 37,018.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.