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Finding the Fourth Proportional to 76,017.44, 113,916 and 52,300.64

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Solution

The fourth proportional to 76,017.44, 113,916 and 52,300.64 is: 78,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,017.44 : 113,916 = 52,300.64 : x
  2. Step 2: Convert to fraction form
    76,017.44/113,916 = 52,300.64/x
  3. Step 3: Cross multiply
    76,017.44x = 113,916 × 52,300.64
  4. Step 4: Simplify right side
    76,017.44x = 5,957,879,706.24
  5. Step 5: Solve for x
    x = 5,957,879,706.24/76,017.44
  6. Step 6: Final answer
    x = 78,375.17

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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.