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Finding the Fourth Proportional to 30,851.71, 46,277.57 and 11,129.99

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Solution

The fourth proportional to 30,851.71, 46,277.57 and 11,129.99 is: 16,694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.71 : 46,277.57 = 11,129.99 : x
  2. Step 2: Convert to fraction form
    30,851.71/46,277.57 = 11,129.99/x
  3. Step 3: Cross multiply
    30,851.71x = 46,277.57 × 11,129.99
  4. Step 4: Simplify right side
    30,851.71x = 515,068,687.76
  5. Step 5: Solve for x
    x = 515,068,687.76/30,851.71
  6. Step 6: Final answer
    x = 16,694.98

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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.