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Finding the Fourth Proportional to 31,302, 43,196.76 and 18,054

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Solution

The fourth proportional to 31,302, 43,196.76 and 18,054 is: 24,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,302 : 43,196.76 = 18,054 : x
  2. Step 2: Convert to fraction form
    31,302/43,196.76 = 18,054/x
  3. Step 3: Cross multiply
    31,302x = 43,196.76 × 18,054
  4. Step 4: Simplify right side
    31,302x = 779,874,305.04
  5. Step 5: Solve for x
    x = 779,874,305.04/31,302
  6. Step 6: Final answer
    x = 24,914.52

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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.