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Finding the Fourth Proportional to 34,030.50, 50,917.50 and 30,577.38

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Solution

The fourth proportional to 34,030.50, 50,917.50 and 30,577.38 is: 45,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,030.50 : 50,917.50 = 30,577.38 : x
  2. Step 2: Convert to fraction form
    34,030.50/50,917.50 = 30,577.38/x
  3. Step 3: Cross multiply
    34,030.50x = 50,917.50 × 30,577.38
  4. Step 4: Simplify right side
    34,030.50x = 1,556,923,746.15
  5. Step 5: Solve for x
    x = 1,556,923,746.15/34,030.50
  6. Step 6: Final answer
    x = 45,750.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.