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Finding the Fourth Proportional to 56,277, 84,415.50 and 23,015.16

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Solution

The fourth proportional to 56,277, 84,415.50 and 23,015.16 is: 34,522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,277 : 84,415.50 = 23,015.16 : x
  2. Step 2: Convert to fraction form
    56,277/84,415.50 = 23,015.16/x
  3. Step 3: Cross multiply
    56,277x = 84,415.50 × 23,015.16
  4. Step 4: Simplify right side
    56,277x = 1,942,836,238.98
  5. Step 5: Solve for x
    x = 1,942,836,238.98/56,277
  6. Step 6: Final answer
    x = 34,522.74

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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.