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Finding the Fourth Proportional to 54,936.70, 75,812.22 and 31,064.22

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Solution

The fourth proportional to 54,936.70, 75,812.22 and 31,064.22 is: 42,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,936.70 : 75,812.22 = 31,064.22 : x
  2. Step 2: Convert to fraction form
    54,936.70/75,812.22 = 31,064.22/x
  3. Step 3: Cross multiply
    54,936.70x = 75,812.22 × 31,064.22
  4. Step 4: Simplify right side
    54,936.70x = 2,355,047,480.77
  5. Step 5: Solve for x
    x = 2,355,047,480.77/54,936.70
  6. Step 6: Final answer
    x = 42,868.38

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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.