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Finding the Fourth Proportional to 31,004.96, 46,507.46 and 13,465.22

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Solution

The fourth proportional to 31,004.96, 46,507.46 and 13,465.22 is: 20,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.96 : 46,507.46 = 13,465.22 : x
  2. Step 2: Convert to fraction form
    31,004.96/46,507.46 = 13,465.22/x
  3. Step 3: Cross multiply
    31,004.96x = 46,507.46 × 13,465.22
  4. Step 4: Simplify right side
    31,004.96x = 626,232,880.68
  5. Step 5: Solve for x
    x = 626,232,880.68/31,004.96
  6. Step 6: Final answer
    x = 20,197.83

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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.