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Finding the Fourth Proportional to 55,082.16, 82,608.48 and 23,910

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Solution

The fourth proportional to 55,082.16, 82,608.48 and 23,910 is: 35,858.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,082.16 : 82,608.48 = 23,910 : x
  2. Step 2: Convert to fraction form
    55,082.16/82,608.48 = 23,910/x
  3. Step 3: Cross multiply
    55,082.16x = 82,608.48 × 23,910
  4. Step 4: Simplify right side
    55,082.16x = 1,975,168,756.80
  5. Step 5: Solve for x
    x = 1,975,168,756.80/55,082.16
  6. Step 6: Final answer
    x = 35,858.59

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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.