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Finding the Fourth Proportional to 83,206.94, 114,797.54 and 47,371.58

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Solution

The fourth proportional to 83,206.94, 114,797.54 and 47,371.58 is: 65,356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,206.94 : 114,797.54 = 47,371.58 : x
  2. Step 2: Convert to fraction form
    83,206.94/114,797.54 = 47,371.58/x
  3. Step 3: Cross multiply
    83,206.94x = 114,797.54 × 47,371.58
  4. Step 4: Simplify right side
    83,206.94x = 5,438,140,039.07
  5. Step 5: Solve for x
    x = 5,438,140,039.07/83,206.94
  6. Step 6: Final answer
    x = 65,356.81

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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.