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Finding the Fourth Proportional to 77,033.70, 106,296.73 and 45,190.98

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Solution

The fourth proportional to 77,033.70, 106,296.73 and 45,190.98 is: 62,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,033.70 : 106,296.73 = 45,190.98 : x
  2. Step 2: Convert to fraction form
    77,033.70/106,296.73 = 45,190.98/x
  3. Step 3: Cross multiply
    77,033.70x = 106,296.73 × 45,190.98
  4. Step 4: Simplify right side
    77,033.70x = 4,803,652,868.01
  5. Step 5: Solve for x
    x = 4,803,652,868.01/77,033.70
  6. Step 6: Final answer
    x = 62,357.81

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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.