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Finding the Fourth Proportional to 31,147.12, 46,728.80 and 10,370.80

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Solution

The fourth proportional to 31,147.12, 46,728.80 and 10,370.80 is: 15,558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,147.12 : 46,728.80 = 10,370.80 : x
  2. Step 2: Convert to fraction form
    31,147.12/46,728.80 = 10,370.80/x
  3. Step 3: Cross multiply
    31,147.12x = 46,728.80 × 10,370.80
  4. Step 4: Simplify right side
    31,147.12x = 484,615,039.04
  5. Step 5: Solve for x
    x = 484,615,039.04/31,147.12
  6. Step 6: Final answer
    x = 15,558.90

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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.