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Finding the Fourth Proportional to 31,004.66, 46,505.96 and 13,474.51

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Solution

The fourth proportional to 31,004.66, 46,505.96 and 13,474.51 is: 20,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.66 : 46,505.96 = 13,474.51 : x
  2. Step 2: Convert to fraction form
    31,004.66/46,505.96 = 13,474.51/x
  3. Step 3: Cross multiply
    31,004.66x = 46,505.96 × 13,474.51
  4. Step 4: Simplify right side
    31,004.66x = 626,645,023.08
  5. Step 5: Solve for x
    x = 626,645,023.08/31,004.66
  6. Step 6: Final answer
    x = 20,211.32

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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.