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Finding the Fourth Proportional to 84,015.96, 115,942.38 and 46,290.21

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Solution

The fourth proportional to 84,015.96, 115,942.38 and 46,290.21 is: 63,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,015.96 : 115,942.38 = 46,290.21 : x
  2. Step 2: Convert to fraction form
    84,015.96/115,942.38 = 46,290.21/x
  3. Step 3: Cross multiply
    84,015.96x = 115,942.38 × 46,290.21
  4. Step 4: Simplify right side
    84,015.96x = 5,366,997,118.10
  5. Step 5: Solve for x
    x = 5,366,997,118.10/84,015.96
  6. Step 6: Final answer
    x = 63,880.69

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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.