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Finding the Fourth Proportional to 34,271.86, 51,411.90 and 12,080.65

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Solution

The fourth proportional to 34,271.86, 51,411.90 and 12,080.65 is: 18,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,271.86 : 51,411.90 = 12,080.65 : x
  2. Step 2: Convert to fraction form
    34,271.86/51,411.90 = 12,080.65/x
  3. Step 3: Cross multiply
    34,271.86x = 51,411.90 × 12,080.65
  4. Step 4: Simplify right side
    34,271.86x = 621,089,169.74
  5. Step 5: Solve for x
    x = 621,089,169.74/34,271.86
  6. Step 6: Final answer
    x = 18,122.42

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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.