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Finding the Fourth Proportional to 86,698, 119,643.24 and 46,954

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Solution

The fourth proportional to 86,698, 119,643.24 and 46,954 is: 64,796.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,698 : 119,643.24 = 46,954 : x
  2. Step 2: Convert to fraction form
    86,698/119,643.24 = 46,954/x
  3. Step 3: Cross multiply
    86,698x = 119,643.24 × 46,954
  4. Step 4: Simplify right side
    86,698x = 5,617,728,690.96
  5. Step 5: Solve for x
    x = 5,617,728,690.96/86,698
  6. Step 6: Final answer
    x = 64,796.52

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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.