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Finding the Fourth Proportional to 31,047.68, 46,545.39 and 13,504.29

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Solution

The fourth proportional to 31,047.68, 46,545.39 and 13,504.29 is: 20,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047.68 : 46,545.39 = 13,504.29 : x
  2. Step 2: Convert to fraction form
    31,047.68/46,545.39 = 13,504.29/x
  3. Step 3: Cross multiply
    31,047.68x = 46,545.39 × 13,504.29
  4. Step 4: Simplify right side
    31,047.68x = 628,562,444.72
  5. Step 5: Solve for x
    x = 628,562,444.72/31,047.68
  6. Step 6: Final answer
    x = 20,245.07

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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.