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Finding the Fourth Proportional to 31,681.37, 43,715.42 and 18,250

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Solution

The fourth proportional to 31,681.37, 43,715.42 and 18,250 is: 25,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,681.37 : 43,715.42 = 18,250 : x
  2. Step 2: Convert to fraction form
    31,681.37/43,715.42 = 18,250/x
  3. Step 3: Cross multiply
    31,681.37x = 43,715.42 × 18,250
  4. Step 4: Simplify right side
    31,681.37x = 797,806,323.75
  5. Step 5: Solve for x
    x = 797,806,323.75/31,681.37
  6. Step 6: Final answer
    x = 25,182.19

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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.