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Finding the Fourth Proportional to 189,834.88, 284,768.72 and 49,593.50

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Solution

The fourth proportional to 189,834.88, 284,768.72 and 49,593.50 is: 74,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,834.88 : 284,768.72 = 49,593.50 : x
  2. Step 2: Convert to fraction form
    189,834.88/284,768.72 = 49,593.50/x
  3. Step 3: Cross multiply
    189,834.88x = 284,768.72 × 49,593.50
  4. Step 4: Simplify right side
    189,834.88x = 14,122,677,515.32
  5. Step 5: Solve for x
    x = 14,122,677,515.32/189,834.88
  6. Step 6: Final answer
    x = 74,394.53

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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.