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Finding the Fourth Proportional to 89,333, 133,999.50 and 23,669

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Solution

The fourth proportional to 89,333, 133,999.50 and 23,669 is: 35,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,333 : 133,999.50 = 23,669 : x
  2. Step 2: Convert to fraction form
    89,333/133,999.50 = 23,669/x
  3. Step 3: Cross multiply
    89,333x = 133,999.50 × 23,669
  4. Step 4: Simplify right side
    89,333x = 3,171,634,165.50
  5. Step 5: Solve for x
    x = 3,171,634,165.50/89,333
  6. Step 6: Final answer
    x = 35,503.50

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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.