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Finding the Fourth Proportional to 83,990.82, 115,907.33 and 46,265.07

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Solution

The fourth proportional to 83,990.82, 115,907.33 and 46,265.07 is: 63,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,990.82 : 115,907.33 = 46,265.07 : x
  2. Step 2: Convert to fraction form
    83,990.82/115,907.33 = 46,265.07/x
  3. Step 3: Cross multiply
    83,990.82x = 115,907.33 × 46,265.07
  4. Step 4: Simplify right side
    83,990.82x = 5,362,460,735.96
  5. Step 5: Solve for x
    x = 5,362,460,735.96/83,990.82
  6. Step 6: Final answer
    x = 63,845.80

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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.