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Finding the Fourth Proportional to 53,412.69, 80,082.14 and 23,412.54

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Solution

The fourth proportional to 53,412.69, 80,082.14 and 23,412.54 is: 35,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,412.69 : 80,082.14 = 23,412.54 : x
  2. Step 2: Convert to fraction form
    53,412.69/80,082.14 = 23,412.54/x
  3. Step 3: Cross multiply
    53,412.69x = 80,082.14 × 23,412.54
  4. Step 4: Simplify right side
    53,412.69x = 1,874,926,188.97
  5. Step 5: Solve for x
    x = 1,874,926,188.97/53,412.69
  6. Step 6: Final answer
    x = 35,102.64

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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.