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Finding the Fourth Proportional to 76,544.36, 114,709.62 and 37,091

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Solution

The fourth proportional to 76,544.36, 114,709.62 and 37,091 is: 55,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,544.36 : 114,709.62 = 37,091 : x
  2. Step 2: Convert to fraction form
    76,544.36/114,709.62 = 37,091/x
  3. Step 3: Cross multiply
    76,544.36x = 114,709.62 × 37,091
  4. Step 4: Simplify right side
    76,544.36x = 4,254,694,515.42
  5. Step 5: Solve for x
    x = 4,254,694,515.42/76,544.36
  6. Step 6: Final answer
    x = 55,584.69

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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.