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Finding the Fourth Proportional to 66,157, 91,296.66 and 36,349

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Solution

The fourth proportional to 66,157, 91,296.66 and 36,349 is: 50,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,157 : 91,296.66 = 36,349 : x
  2. Step 2: Convert to fraction form
    66,157/91,296.66 = 36,349/x
  3. Step 3: Cross multiply
    66,157x = 91,296.66 × 36,349
  4. Step 4: Simplify right side
    66,157x = 3,318,542,294.34
  5. Step 5: Solve for x
    x = 3,318,542,294.34/66,157
  6. Step 6: Final answer
    x = 50,161.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.