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Finding the Fourth Proportional to 84,062.98, 116,007.69 and 46,338.58

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Solution

The fourth proportional to 84,062.98, 116,007.69 and 46,338.58 is: 63,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,062.98 : 116,007.69 = 46,338.58 : x
  2. Step 2: Convert to fraction form
    84,062.98/116,007.69 = 46,338.58/x
  3. Step 3: Cross multiply
    84,062.98x = 116,007.69 × 46,338.58
  4. Step 4: Simplify right side
    84,062.98x = 5,375,631,623.68
  5. Step 5: Solve for x
    x = 5,375,631,623.68/84,062.98
  6. Step 6: Final answer
    x = 63,947.67

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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.