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Finding the Fourth Proportional to 89,832.75, 134,756.87 and 32,922.10

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Solution

The fourth proportional to 89,832.75, 134,756.87 and 32,922.10 is: 49,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,832.75 : 134,756.87 = 32,922.10 : x
  2. Step 2: Convert to fraction form
    89,832.75/134,756.87 = 32,922.10/x
  3. Step 3: Cross multiply
    89,832.75x = 134,756.87 × 32,922.10
  4. Step 4: Simplify right side
    89,832.75x = 4,436,478,395.66
  5. Step 5: Solve for x
    x = 4,436,478,395.66/89,832.75
  6. Step 6: Final answer
    x = 49,385.98

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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.