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Finding the Fourth Proportional to 66,578.83, 91,876.44 and 37,896.32

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Solution

The fourth proportional to 66,578.83, 91,876.44 and 37,896.32 is: 52,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,578.83 : 91,876.44 = 37,896.32 : x
  2. Step 2: Convert to fraction form
    66,578.83/91,876.44 = 37,896.32/x
  3. Step 3: Cross multiply
    66,578.83x = 91,876.44 × 37,896.32
  4. Step 4: Simplify right side
    66,578.83x = 3,481,779,376.43
  5. Step 5: Solve for x
    x = 3,481,779,376.43/66,578.83
  6. Step 6: Final answer
    x = 52,295.59

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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.