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Finding the Fourth Proportional to 76,843.72, 115,282.59 and 30,097

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Solution

The fourth proportional to 76,843.72, 115,282.59 and 30,097 is: 45,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,843.72 : 115,282.59 = 30,097 : x
  2. Step 2: Convert to fraction form
    76,843.72/115,282.59 = 30,097/x
  3. Step 3: Cross multiply
    76,843.72x = 115,282.59 × 30,097
  4. Step 4: Simplify right side
    76,843.72x = 3,469,660,111.23
  5. Step 5: Solve for x
    x = 3,469,660,111.23/76,843.72
  6. Step 6: Final answer
    x = 45,152.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.