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Finding the Fourth Proportional to 31,311.60, 46,977.12 and 28,003.56

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Solution

The fourth proportional to 31,311.60, 46,977.12 and 28,003.56 is: 42,014.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,311.60 : 46,977.12 = 28,003.56 : x
  2. Step 2: Convert to fraction form
    31,311.60/46,977.12 = 28,003.56/x
  3. Step 3: Cross multiply
    31,311.60x = 46,977.12 × 28,003.56
  4. Step 4: Simplify right side
    31,311.60x = 1,315,526,598.55
  5. Step 5: Solve for x
    x = 1,315,526,598.55/31,311.60
  6. Step 6: Final answer
    x = 42,014.03

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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.