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Finding the Fourth Proportional to 41,530, 57,316.68 and 27,412.24

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Solution

The fourth proportional to 41,530, 57,316.68 and 27,412.24 is: 37,832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,530 : 57,316.68 = 27,412.24 : x
  2. Step 2: Convert to fraction form
    41,530/57,316.68 = 27,412.24/x
  3. Step 3: Cross multiply
    41,530x = 57,316.68 × 27,412.24
  4. Step 4: Simplify right side
    41,530x = 1,571,178,588.16
  5. Step 5: Solve for x
    x = 1,571,178,588.16/41,530
  6. Step 6: Final answer
    x = 37,832.38

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1.5x scale

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.