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Finding the Fourth Proportional to 31,014.60, 46,528.90 and 11,293.34

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Solution

The fourth proportional to 31,014.60, 46,528.90 and 11,293.34 is: 16,942.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,014.60 : 46,528.90 = 11,293.34 : x
  2. Step 2: Convert to fraction form
    31,014.60/46,528.90 = 11,293.34/x
  3. Step 3: Cross multiply
    31,014.60x = 46,528.90 × 11,293.34
  4. Step 4: Simplify right side
    31,014.60x = 525,466,687.53
  5. Step 5: Solve for x
    x = 525,466,687.53/31,014.60
  6. Step 6: Final answer
    x = 16,942.56

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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.