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Finding the Fourth Proportional to 86,517, 119,393.62 and 46,773

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Solution

The fourth proportional to 86,517, 119,393.62 and 46,773 is: 64,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,517 : 119,393.62 = 46,773 : x
  2. Step 2: Convert to fraction form
    86,517/119,393.62 = 46,773/x
  3. Step 3: Cross multiply
    86,517x = 119,393.62 × 46,773
  4. Step 4: Simplify right side
    86,517x = 5,584,397,788.26
  5. Step 5: Solve for x
    x = 5,584,397,788.26/86,517
  6. Step 6: Final answer
    x = 64,546.83

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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.