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Finding the Fourth Proportional to 78,277, 108,022.26 and 44,743.72

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Solution

The fourth proportional to 78,277, 108,022.26 and 44,743.72 is: 61,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,277 : 108,022.26 = 44,743.72 : x
  2. Step 2: Convert to fraction form
    78,277/108,022.26 = 44,743.72/x
  3. Step 3: Cross multiply
    78,277x = 108,022.26 × 44,743.72
  4. Step 4: Simplify right side
    78,277x = 4,833,317,755.21
  5. Step 5: Solve for x
    x = 4,833,317,755.21/78,277
  6. Step 6: Final answer
    x = 61,746.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.