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Finding the Fourth Proportional to 75,692, 113,535.84 and 23,093.84

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Solution

The fourth proportional to 75,692, 113,535.84 and 23,093.84 is: 34,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,692 : 113,535.84 = 23,093.84 : x
  2. Step 2: Convert to fraction form
    75,692/113,535.84 = 23,093.84/x
  3. Step 3: Cross multiply
    75,692x = 113,535.84 × 23,093.84
  4. Step 4: Simplify right side
    75,692x = 2,621,978,523.23
  5. Step 5: Solve for x
    x = 2,621,978,523.23/75,692
  6. Step 6: Final answer
    x = 34,640.10

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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.