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Finding the Fourth Proportional to 80,311, 110,830.78 and 46,779.16

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Solution

The fourth proportional to 80,311, 110,830.78 and 46,779.16 is: 64,556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,311 : 110,830.78 = 46,779.16 : x
  2. Step 2: Convert to fraction form
    80,311/110,830.78 = 46,779.16/x
  3. Step 3: Cross multiply
    80,311x = 110,830.78 × 46,779.16
  4. Step 4: Simplify right side
    80,311x = 5,184,570,790.54
  5. Step 5: Solve for x
    x = 5,184,570,790.54/80,311
  6. Step 6: Final answer
    x = 64,556.17

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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.