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Finding the Fourth Proportional to 92,185.85, 127,211.03 and 51,898

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Solution

The fourth proportional to 92,185.85, 127,211.03 and 51,898 is: 71,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,185.85 : 127,211.03 = 51,898 : x
  2. Step 2: Convert to fraction form
    92,185.85/127,211.03 = 51,898/x
  3. Step 3: Cross multiply
    92,185.85x = 127,211.03 × 51,898
  4. Step 4: Simplify right side
    92,185.85x = 6,601,998,034.94
  5. Step 5: Solve for x
    x = 6,601,998,034.94/92,185.85
  6. Step 6: Final answer
    x = 71,616.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.