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Finding the Fourth Proportional to 83,137.94, 114,736.14 and 47,327.94

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Solution

The fourth proportional to 83,137.94, 114,736.14 and 47,327.94 is: 65,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,137.94 : 114,736.14 = 47,327.94 : x
  2. Step 2: Convert to fraction form
    83,137.94/114,736.14 = 47,327.94/x
  3. Step 3: Cross multiply
    83,137.94x = 114,736.14 × 47,327.94
  4. Step 4: Simplify right side
    83,137.94x = 5,430,225,149.75
  5. Step 5: Solve for x
    x = 5,430,225,149.75/83,137.94
  6. Step 6: Final answer
    x = 65,315.85

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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.