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Finding the Fourth Proportional to 51,094, 76,641 and 14,158

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Solution

The fourth proportional to 51,094, 76,641 and 14,158 is: 21,237

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,094 : 76,641 = 14,158 : x
  2. Step 2: Convert to fraction form
    51,094/76,641 = 14,158/x
  3. Step 3: Cross multiply
    51,094x = 76,641 × 14,158
  4. Step 4: Simplify right side
    51,094x = 1,085,083,278
  5. Step 5: Solve for x
    x = 1,085,083,278/51,094
  6. Step 6: Final answer
    x = 21,237

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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.