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Finding the Fourth Proportional to 78,211.44, 107,922.60 and 46,374.48

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Solution

The fourth proportional to 78,211.44, 107,922.60 and 46,374.48 is: 63,991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,211.44 : 107,922.60 = 46,374.48 : x
  2. Step 2: Convert to fraction form
    78,211.44/107,922.60 = 46,374.48/x
  3. Step 3: Cross multiply
    78,211.44x = 107,922.60 × 46,374.48
  4. Step 4: Simplify right side
    78,211.44x = 5,004,854,455.25
  5. Step 5: Solve for x
    x = 5,004,854,455.25/78,211.44
  6. Step 6: Final answer
    x = 63,991.33

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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.