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Finding the Fourth Proportional to 80,077.50, 110,516.67 and 46,543.50

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Solution

The fourth proportional to 80,077.50, 110,516.67 and 46,543.50 is: 64,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,077.50 : 110,516.67 = 46,543.50 : x
  2. Step 2: Convert to fraction form
    80,077.50/110,516.67 = 46,543.50/x
  3. Step 3: Cross multiply
    80,077.50x = 110,516.67 × 46,543.50
  4. Step 4: Simplify right side
    80,077.50x = 5,143,832,630.15
  5. Step 5: Solve for x
    x = 5,143,832,630.15/80,077.50
  6. Step 6: Final answer
    x = 64,235.68

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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.