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Finding the Fourth Proportional to 30,775, 46,162.41 and 23,765.26

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Solution

The fourth proportional to 30,775, 46,162.41 and 23,765.26 is: 35,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775 : 46,162.41 = 23,765.26 : x
  2. Step 2: Convert to fraction form
    30,775/46,162.41 = 23,765.26/x
  3. Step 3: Cross multiply
    30,775x = 46,162.41 × 23,765.26
  4. Step 4: Simplify right side
    30,775x = 1,097,061,675.88
  5. Step 5: Solve for x
    x = 1,097,061,675.88/30,775
  6. Step 6: Final answer
    x = 35,647.82

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1.5x scale

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.