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Finding the Fourth Proportional to 75,768, 113,647.20 and 23,173.20

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Solution

The fourth proportional to 75,768, 113,647.20 and 23,173.20 is: 34,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,768 : 113,647.20 = 23,173.20 : x
  2. Step 2: Convert to fraction form
    75,768/113,647.20 = 23,173.20/x
  3. Step 3: Cross multiply
    75,768x = 113,647.20 × 23,173.20
  4. Step 4: Simplify right side
    75,768x = 2,633,569,295.04
  5. Step 5: Solve for x
    x = 2,633,569,295.04/75,768
  6. Step 6: Final answer
    x = 34,758.33

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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.