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Finding the Fourth Proportional to 83,277.33, 114,919.83 and 47,478.87

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Solution

The fourth proportional to 83,277.33, 114,919.83 and 47,478.87 is: 65,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,277.33 : 114,919.83 = 47,478.87 : x
  2. Step 2: Convert to fraction form
    83,277.33/114,919.83 = 47,478.87/x
  3. Step 3: Cross multiply
    83,277.33x = 114,919.83 × 47,478.87
  4. Step 4: Simplify right side
    83,277.33x = 5,456,263,668.99
  5. Step 5: Solve for x
    x = 5,456,263,668.99/83,277.33
  6. Step 6: Final answer
    x = 65,519.20

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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.