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Finding the Fourth Proportional to 15,438.56, 23,161.08 and 5,049.50

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Solution

The fourth proportional to 15,438.56, 23,161.08 and 5,049.50 is: 7,575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,438.56 : 23,161.08 = 5,049.50 : x
  2. Step 2: Convert to fraction form
    15,438.56/23,161.08 = 5,049.50/x
  3. Step 3: Cross multiply
    15,438.56x = 23,161.08 × 5,049.50
  4. Step 4: Simplify right side
    15,438.56x = 116,951,873.46
  5. Step 5: Solve for x
    x = 116,951,873.46/15,438.56
  6. Step 6: Final answer
    x = 7,575.31

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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.