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Finding the Fourth Proportional to 47,146.96, 65,063.28 and 25,926.38

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Solution

The fourth proportional to 47,146.96, 65,063.28 and 25,926.38 is: 35,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,146.96 : 65,063.28 = 25,926.38 : x
  2. Step 2: Convert to fraction form
    47,146.96/65,063.28 = 25,926.38/x
  3. Step 3: Cross multiply
    47,146.96x = 65,063.28 × 25,926.38
  4. Step 4: Simplify right side
    47,146.96x = 1,686,855,321.33
  5. Step 5: Solve for x
    x = 1,686,855,321.33/47,146.96
  6. Step 6: Final answer
    x = 35,778.67

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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.