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Finding the Fourth Proportional to 89,062, 133,651.32 and 33,658

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Solution

The fourth proportional to 89,062, 133,651.32 and 33,658 is: 50,509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,062 : 133,651.32 = 33,658 : x
  2. Step 2: Convert to fraction form
    89,062/133,651.32 = 33,658/x
  3. Step 3: Cross multiply
    89,062x = 133,651.32 × 33,658
  4. Step 4: Simplify right side
    89,062x = 4,498,436,128.56
  5. Step 5: Solve for x
    x = 4,498,436,128.56/89,062
  6. Step 6: Final answer
    x = 50,509.04

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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.