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Finding the Fourth Proportional to 73,704.36, 101,712.36 and 41,875

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Solution

The fourth proportional to 73,704.36, 101,712.36 and 41,875 is: 57,787.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,704.36 : 101,712.36 = 41,875 : x
  2. Step 2: Convert to fraction form
    73,704.36/101,712.36 = 41,875/x
  3. Step 3: Cross multiply
    73,704.36x = 101,712.36 × 41,875
  4. Step 4: Simplify right side
    73,704.36x = 4,259,205,075
  5. Step 5: Solve for x
    x = 4,259,205,075/73,704.36
  6. Step 6: Final answer
    x = 57,787.69

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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.