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Finding the Fourth Proportional to 86,538, 119,422.44 and 46,794

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Solution

The fourth proportional to 86,538, 119,422.44 and 46,794 is: 64,575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,538 : 119,422.44 = 46,794 : x
  2. Step 2: Convert to fraction form
    86,538/119,422.44 = 46,794/x
  3. Step 3: Cross multiply
    86,538x = 119,422.44 × 46,794
  4. Step 4: Simplify right side
    86,538x = 5,588,253,657.36
  5. Step 5: Solve for x
    x = 5,588,253,657.36/86,538
  6. Step 6: Final answer
    x = 64,575.72

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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.