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Finding the Fourth Proportional to 110,926.62, 166,368.62 and 47,757.56

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Solution

The fourth proportional to 110,926.62, 166,368.62 and 47,757.56 is: 71,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,926.62 : 166,368.62 = 47,757.56 : x
  2. Step 2: Convert to fraction form
    110,926.62/166,368.62 = 47,757.56/x
  3. Step 3: Cross multiply
    110,926.62x = 166,368.62 × 47,757.56
  4. Step 4: Simplify right side
    110,926.62x = 7,945,358,281.14
  5. Step 5: Solve for x
    x = 7,945,358,281.14/110,926.62
  6. Step 6: Final answer
    x = 71,627.16

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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.