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Finding the Fourth Proportional to 30,229.75, 45,345.44 and 9,453.25

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Solution

The fourth proportional to 30,229.75, 45,345.44 and 9,453.25 is: 14,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,229.75 : 45,345.44 = 9,453.25 : x
  2. Step 2: Convert to fraction form
    30,229.75/45,345.44 = 9,453.25/x
  3. Step 3: Cross multiply
    30,229.75x = 45,345.44 × 9,453.25
  4. Step 4: Simplify right side
    30,229.75x = 428,661,780.68
  5. Step 5: Solve for x
    x = 428,661,780.68/30,229.75
  6. Step 6: Final answer
    x = 14,180.13

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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.