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Finding the Fourth Proportional to 76,114.33, 114,185.85 and 23,511.52

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Solution

The fourth proportional to 76,114.33, 114,185.85 and 23,511.52 is: 35,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,114.33 : 114,185.85 = 23,511.52 : x
  2. Step 2: Convert to fraction form
    76,114.33/114,185.85 = 23,511.52/x
  3. Step 3: Cross multiply
    76,114.33x = 114,185.85 × 23,511.52
  4. Step 4: Simplify right side
    76,114.33x = 2,684,682,440.51
  5. Step 5: Solve for x
    x = 2,684,682,440.51/76,114.33
  6. Step 6: Final answer
    x = 35,271.71

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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.