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Finding the Fourth Proportional to 89,004, 133,517.60 and 32,883.42

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Solution

The fourth proportional to 89,004, 133,517.60 and 32,883.42 is: 49,329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,004 : 133,517.60 = 32,883.42 : x
  2. Step 2: Convert to fraction form
    89,004/133,517.60 = 32,883.42/x
  3. Step 3: Cross multiply
    89,004x = 133,517.60 × 32,883.42
  4. Step 4: Simplify right side
    89,004x = 4,390,515,318.19
  5. Step 5: Solve for x
    x = 4,390,515,318.19/89,004
  6. Step 6: Final answer
    x = 49,329.42

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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.