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Finding the Fourth Proportional to 30,745.44, 46,122.48 and 9,964.08

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Solution

The fourth proportional to 30,745.44, 46,122.48 and 9,964.08 is: 14,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,745.44 : 46,122.48 = 9,964.08 : x
  2. Step 2: Convert to fraction form
    30,745.44/46,122.48 = 9,964.08/x
  3. Step 3: Cross multiply
    30,745.44x = 46,122.48 × 9,964.08
  4. Step 4: Simplify right side
    30,745.44x = 459,568,080.52
  5. Step 5: Solve for x
    x = 459,568,080.52/30,745.44
  6. Step 6: Final answer
    x = 14,947.52

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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.