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Finding the Fourth Proportional to 31,049.68, 46,548.39 and 13,506.29

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Solution

The fourth proportional to 31,049.68, 46,548.39 and 13,506.29 is: 20,248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.68 : 46,548.39 = 13,506.29 : x
  2. Step 2: Convert to fraction form
    31,049.68/46,548.39 = 13,506.29/x
  3. Step 3: Cross multiply
    31,049.68x = 46,548.39 × 13,506.29
  4. Step 4: Simplify right side
    31,049.68x = 628,696,054.37
  5. Step 5: Solve for x
    x = 628,696,054.37/31,049.68
  6. Step 6: Final answer
    x = 20,248.07

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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.