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Finding the Fourth Proportional to 89,165.46, 133,709.31 and 33,722.58

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Solution

The fourth proportional to 89,165.46, 133,709.31 and 33,722.58 is: 50,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,165.46 : 133,709.31 = 33,722.58 : x
  2. Step 2: Convert to fraction form
    89,165.46/133,709.31 = 33,722.58/x
  3. Step 3: Cross multiply
    89,165.46x = 133,709.31 × 33,722.58
  4. Step 4: Simplify right side
    89,165.46x = 4,509,022,557.67
  5. Step 5: Solve for x
    x = 4,509,022,557.67/89,165.46
  6. Step 6: Final answer
    x = 50,569.16

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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.