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Finding the Fourth Proportional to 22,333, 33,499.50 and 5,917

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Solution

The fourth proportional to 22,333, 33,499.50 and 5,917 is: 8,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,333 : 33,499.50 = 5,917 : x
  2. Step 2: Convert to fraction form
    22,333/33,499.50 = 5,917/x
  3. Step 3: Cross multiply
    22,333x = 33,499.50 × 5,917
  4. Step 4: Simplify right side
    22,333x = 198,216,541.50
  5. Step 5: Solve for x
    x = 198,216,541.50/22,333
  6. Step 6: Final answer
    x = 8,875.50

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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.