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Finding the Fourth Proportional to 86,505, 119,377.06 and 46,761

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Solution

The fourth proportional to 86,505, 119,377.06 and 46,761 is: 64,530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,505 : 119,377.06 = 46,761 : x
  2. Step 2: Convert to fraction form
    86,505/119,377.06 = 46,761/x
  3. Step 3: Cross multiply
    86,505x = 119,377.06 × 46,761
  4. Step 4: Simplify right side
    86,505x = 5,582,190,702.66
  5. Step 5: Solve for x
    x = 5,582,190,702.66/86,505
  6. Step 6: Final answer
    x = 64,530.27

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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.