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Finding the Fourth Proportional to 73,189.80, 109,784.70 and 49,861.80

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Solution

The fourth proportional to 73,189.80, 109,784.70 and 49,861.80 is: 74,792.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,189.80 : 109,784.70 = 49,861.80 : x
  2. Step 2: Convert to fraction form
    73,189.80/109,784.70 = 49,861.80/x
  3. Step 3: Cross multiply
    73,189.80x = 109,784.70 × 49,861.80
  4. Step 4: Simplify right side
    73,189.80x = 5,474,062,754.46
  5. Step 5: Solve for x
    x = 5,474,062,754.46/73,189.80
  6. Step 6: Final answer
    x = 74,792.70

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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.