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Finding the Fourth Proportional to 31,201.47, 46,806.84 and 11,478.60

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Solution

The fourth proportional to 31,201.47, 46,806.84 and 11,478.60 is: 17,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,201.47 : 46,806.84 = 11,478.60 : x
  2. Step 2: Convert to fraction form
    31,201.47/46,806.84 = 11,478.60/x
  3. Step 3: Cross multiply
    31,201.47x = 46,806.84 × 11,478.60
  4. Step 4: Simplify right side
    31,201.47x = 537,276,993.62
  5. Step 5: Solve for x
    x = 537,276,993.62/31,201.47
  6. Step 6: Final answer
    x = 17,219.61

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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.