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Finding the Fourth Proportional to 31,228.53, 46,843.40 and 11,496.93

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Solution

The fourth proportional to 31,228.53, 46,843.40 and 11,496.93 is: 17,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,228.53 : 46,843.40 = 11,496.93 : x
  2. Step 2: Convert to fraction form
    31,228.53/46,843.40 = 11,496.93/x
  3. Step 3: Cross multiply
    31,228.53x = 46,843.40 × 11,496.93
  4. Step 4: Simplify right side
    31,228.53x = 538,555,290.76
  5. Step 5: Solve for x
    x = 538,555,290.76/31,228.53
  6. Step 6: Final answer
    x = 17,245.62

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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.