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Finding the Fourth Proportional to 31,047.30, 46,544.83 and 13,503.92

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Solution

The fourth proportional to 31,047.30, 46,544.83 and 13,503.92 is: 20,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047.30 : 46,544.83 = 13,503.92 : x
  2. Step 2: Convert to fraction form
    31,047.30/46,544.83 = 13,503.92/x
  3. Step 3: Cross multiply
    31,047.30x = 46,544.83 × 13,503.92
  4. Step 4: Simplify right side
    31,047.30x = 628,537,394.25
  5. Step 5: Solve for x
    x = 628,537,394.25/31,047.30
  6. Step 6: Final answer
    x = 20,244.51

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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.