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Finding the Fourth Proportional to 31,046.54, 46,564.28 and 13,287.19

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Solution

The fourth proportional to 31,046.54, 46,564.28 and 13,287.19 is: 19,928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.54 : 46,564.28 = 13,287.19 : x
  2. Step 2: Convert to fraction form
    31,046.54/46,564.28 = 13,287.19/x
  3. Step 3: Cross multiply
    31,046.54x = 46,564.28 × 13,287.19
  4. Step 4: Simplify right side
    31,046.54x = 618,708,202.75
  5. Step 5: Solve for x
    x = 618,708,202.75/31,046.54
  6. Step 6: Final answer
    x = 19,928.41

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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.