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Finding the Fourth Proportional to 31,003.56, 46,477.80 and 11,278.44

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Solution

The fourth proportional to 31,003.56, 46,477.80 and 11,278.44 is: 16,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,003.56 : 46,477.80 = 11,278.44 : x
  2. Step 2: Convert to fraction form
    31,003.56/46,477.80 = 11,278.44/x
  3. Step 3: Cross multiply
    31,003.56x = 46,477.80 × 11,278.44
  4. Step 4: Simplify right side
    31,003.56x = 524,197,078.63
  5. Step 5: Solve for x
    x = 524,197,078.63/31,003.56
  6. Step 6: Final answer
    x = 16,907.64

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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.