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Finding the Fourth Proportional to 101,990.53, 152,764.26 and 49,289.50

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Solution

The fourth proportional to 101,990.53, 152,764.26 and 49,289.50 is: 73,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,990.53 : 152,764.26 = 49,289.50 : x
  2. Step 2: Convert to fraction form
    101,990.53/152,764.26 = 49,289.50/x
  3. Step 3: Cross multiply
    101,990.53x = 152,764.26 × 49,289.50
  4. Step 4: Simplify right side
    101,990.53x = 7,529,673,993.27
  5. Step 5: Solve for x
    x = 7,529,673,993.27/101,990.53
  6. Step 6: Final answer
    x = 73,827.19

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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.