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Finding the Fourth Proportional to 31,175.49, 46,720.13 and 27,005.16

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Solution

The fourth proportional to 31,175.49, 46,720.13 and 27,005.16 is: 40,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,175.49 : 46,720.13 = 27,005.16 : x
  2. Step 2: Convert to fraction form
    31,175.49/46,720.13 = 27,005.16/x
  3. Step 3: Cross multiply
    31,175.49x = 46,720.13 × 27,005.16
  4. Step 4: Simplify right side
    31,175.49x = 1,261,684,585.87
  5. Step 5: Solve for x
    x = 1,261,684,585.87/31,175.49
  6. Step 6: Final answer
    x = 40,470.40

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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.