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Finding the Fourth Proportional to 31,076.46, 46,620.77 and 11,352.42

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Solution

The fourth proportional to 31,076.46, 46,620.77 and 11,352.42 is: 17,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076.46 : 46,620.77 = 11,352.42 : x
  2. Step 2: Convert to fraction form
    31,076.46/46,620.77 = 11,352.42/x
  3. Step 3: Cross multiply
    31,076.46x = 46,620.77 × 11,352.42
  4. Step 4: Simplify right side
    31,076.46x = 529,258,505.00
  5. Step 5: Solve for x
    x = 529,258,505.00/31,076.46
  6. Step 6: Final answer
    x = 17,030.85

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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.