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Finding the Fourth Proportional to 31,076.57, 46,655.51 and 18,449.38

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Solution

The fourth proportional to 31,076.57, 46,655.51 and 18,449.38 is: 27,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076.57 : 46,655.51 = 18,449.38 : x
  2. Step 2: Convert to fraction form
    31,076.57/46,655.51 = 18,449.38/x
  3. Step 3: Cross multiply
    31,076.57x = 46,655.51 × 18,449.38
  4. Step 4: Simplify right side
    31,076.57x = 860,765,024.20
  5. Step 5: Solve for x
    x = 860,765,024.20/31,076.57
  6. Step 6: Final answer
    x = 27,698.20

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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.