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Finding the Fourth Proportional to 31,382.64, 43,292.48 and 18,630

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Solution

The fourth proportional to 31,382.64, 43,292.48 and 18,630 is: 25,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.64 : 43,292.48 = 18,630 : x
  2. Step 2: Convert to fraction form
    31,382.64/43,292.48 = 18,630/x
  3. Step 3: Cross multiply
    31,382.64x = 43,292.48 × 18,630
  4. Step 4: Simplify right side
    31,382.64x = 806,538,809.25
  5. Step 5: Solve for x
    x = 806,538,809.25/31,382.64
  6. Step 6: Final answer
    x = 25,700.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.