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Finding the Fourth Proportional to 30,939.25, 42,707.25 and 18,364

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Solution

The fourth proportional to 30,939.25, 42,707.25 and 18,364 is: 25,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,939.25 : 42,707.25 = 18,364 : x
  2. Step 2: Convert to fraction form
    30,939.25/42,707.25 = 18,364/x
  3. Step 3: Cross multiply
    30,939.25x = 42,707.25 × 18,364
  4. Step 4: Simplify right side
    30,939.25x = 784,275,939
  5. Step 5: Solve for x
    x = 784,275,939/30,939.25
  6. Step 6: Final answer
    x = 25,348.90

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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.