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Finding the Fourth Proportional to 49,869, 74,803.50 and 22,167

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Solution

The fourth proportional to 49,869, 74,803.50 and 22,167 is: 33,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,869 : 74,803.50 = 22,167 : x
  2. Step 2: Convert to fraction form
    49,869/74,803.50 = 22,167/x
  3. Step 3: Cross multiply
    49,869x = 74,803.50 × 22,167
  4. Step 4: Simplify right side
    49,869x = 1,658,169,184.50
  5. Step 5: Solve for x
    x = 1,658,169,184.50/49,869
  6. Step 6: Final answer
    x = 33,250.50

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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.