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Finding the Fourth Proportional to 30,781.26, 42,478 and 16,634.07

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Solution

The fourth proportional to 30,781.26, 42,478 and 16,634.07 is: 22,954.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.26 : 42,478 = 16,634.07 : x
  2. Step 2: Convert to fraction form
    30,781.26/42,478 = 16,634.07/x
  3. Step 3: Cross multiply
    30,781.26x = 42,478 × 16,634.07
  4. Step 4: Simplify right side
    30,781.26x = 706,582,025.46
  5. Step 5: Solve for x
    x = 706,582,025.46/30,781.26
  6. Step 6: Final answer
    x = 22,954.94

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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.