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Finding the Fourth Proportional to 31,826.51, 43,915.70 and 18,395.16

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Solution

The fourth proportional to 31,826.51, 43,915.70 and 18,395.16 is: 25,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,826.51 : 43,915.70 = 18,395.16 : x
  2. Step 2: Convert to fraction form
    31,826.51/43,915.70 = 18,395.16/x
  3. Step 3: Cross multiply
    31,826.51x = 43,915.70 × 18,395.16
  4. Step 4: Simplify right side
    31,826.51x = 807,836,236.04
  5. Step 5: Solve for x
    x = 807,836,236.04/31,826.51
  6. Step 6: Final answer
    x = 25,382.50

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Why These Related Problems?

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