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Finding the Fourth Proportional to 75,690, 113,532.84 and 23,091.84

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Solution

The fourth proportional to 75,690, 113,532.84 and 23,091.84 is: 34,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,690 : 113,532.84 = 23,091.84 : x
  2. Step 2: Convert to fraction form
    75,690/113,532.84 = 23,091.84/x
  3. Step 3: Cross multiply
    75,690x = 113,532.84 × 23,091.84
  4. Step 4: Simplify right side
    75,690x = 2,621,682,176.03
  5. Step 5: Solve for x
    x = 2,621,682,176.03/75,690
  6. Step 6: Final answer
    x = 34,637.10

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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.