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Finding the Fourth Proportional to 76,851.72, 115,295.40 and 30,105

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Solution

The fourth proportional to 76,851.72, 115,295.40 and 30,105 is: 45,164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,851.72 : 115,295.40 = 30,105 : x
  2. Step 2: Convert to fraction form
    76,851.72/115,295.40 = 30,105/x
  3. Step 3: Cross multiply
    76,851.72x = 115,295.40 × 30,105
  4. Step 4: Simplify right side
    76,851.72x = 3,470,968,017
  5. Step 5: Solve for x
    x = 3,470,968,017/76,851.72
  6. Step 6: Final answer
    x = 45,164.48

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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.