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Finding the Fourth Proportional to 31,046.64, 46,542.42 and 13,506.90

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Solution

The fourth proportional to 31,046.64, 46,542.42 and 13,506.90 is: 20,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.64 : 46,542.42 = 13,506.90 : x
  2. Step 2: Convert to fraction form
    31,046.64/46,542.42 = 13,506.90/x
  3. Step 3: Cross multiply
    31,046.64x = 46,542.42 × 13,506.90
  4. Step 4: Simplify right side
    31,046.64x = 628,643,812.70
  5. Step 5: Solve for x
    x = 628,643,812.70/31,046.64
  6. Step 6: Final answer
    x = 20,248.37

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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.