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Finding the Fourth Proportional to 31,023.99, 46,508.31 and 14,361.12

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Solution

The fourth proportional to 31,023.99, 46,508.31 and 14,361.12 is: 21,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,023.99 : 46,508.31 = 14,361.12 : x
  2. Step 2: Convert to fraction form
    31,023.99/46,508.31 = 14,361.12/x
  3. Step 3: Cross multiply
    31,023.99x = 46,508.31 × 14,361.12
  4. Step 4: Simplify right side
    31,023.99x = 667,911,420.91
  5. Step 5: Solve for x
    x = 667,911,420.91/31,023.99
  6. Step 6: Final answer
    x = 21,528.87

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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.