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Finding the Fourth Proportional to 34,078.86, 51,085.14 and 16,539.12

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Solution

The fourth proportional to 34,078.86, 51,085.14 and 16,539.12 is: 24,792.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,078.86 : 51,085.14 = 16,539.12 : x
  2. Step 2: Convert to fraction form
    34,078.86/51,085.14 = 16,539.12/x
  3. Step 3: Cross multiply
    34,078.86x = 51,085.14 × 16,539.12
  4. Step 4: Simplify right side
    34,078.86x = 844,903,260.68
  5. Step 5: Solve for x
    x = 844,903,260.68/34,078.86
  6. Step 6: Final answer
    x = 24,792.59

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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.