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Finding the Fourth Proportional to 83,243.94, 114,897.99 and 51,394.56

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Solution

The fourth proportional to 83,243.94, 114,897.99 and 51,394.56 is: 70,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,243.94 : 114,897.99 = 51,394.56 : x
  2. Step 2: Convert to fraction form
    83,243.94/114,897.99 = 51,394.56/x
  3. Step 3: Cross multiply
    83,243.94x = 114,897.99 × 51,394.56
  4. Step 4: Simplify right side
    83,243.94x = 5,905,131,640.93
  5. Step 5: Solve for x
    x = 5,905,131,640.93/83,243.94
  6. Step 6: Final answer
    x = 70,937.68

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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.