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Finding the Fourth Proportional to 47,287.80, 65,255.22 and 30,268.08

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Solution

The fourth proportional to 47,287.80, 65,255.22 and 30,268.08 is: 41,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,287.80 : 65,255.22 = 30,268.08 : x
  2. Step 2: Convert to fraction form
    47,287.80/65,255.22 = 30,268.08/x
  3. Step 3: Cross multiply
    47,287.80x = 65,255.22 × 30,268.08
  4. Step 4: Simplify right side
    47,287.80x = 1,975,150,219.38
  5. Step 5: Solve for x
    x = 1,975,150,219.38/47,287.80
  6. Step 6: Final answer
    x = 41,768.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.