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Finding the Fourth Proportional to 86,706, 119,654.28 and 46,962

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Solution

The fourth proportional to 86,706, 119,654.28 and 46,962 is: 64,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,706 : 119,654.28 = 46,962 : x
  2. Step 2: Convert to fraction form
    86,706/119,654.28 = 46,962/x
  3. Step 3: Cross multiply
    86,706x = 119,654.28 × 46,962
  4. Step 4: Simplify right side
    86,706x = 5,619,204,297.36
  5. Step 5: Solve for x
    x = 5,619,204,297.36/86,706
  6. Step 6: Final answer
    x = 64,807.56

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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.