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Finding the Fourth Proportional to 84,405.58, 116,475.87 and 46,163.32

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Solution

The fourth proportional to 84,405.58, 116,475.87 and 46,163.32 is: 63,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,405.58 : 116,475.87 = 46,163.32 : x
  2. Step 2: Convert to fraction form
    84,405.58/116,475.87 = 46,163.32/x
  3. Step 3: Cross multiply
    84,405.58x = 116,475.87 × 46,163.32
  4. Step 4: Simplify right side
    84,405.58x = 5,376,912,859.09
  5. Step 5: Solve for x
    x = 5,376,912,859.09/84,405.58
  6. Step 6: Final answer
    x = 63,703.29

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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.