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Finding the Fourth Proportional to 30,781.48, 42,478.46 and 16,634.30

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Solution

The fourth proportional to 30,781.48, 42,478.46 and 16,634.30 is: 22,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.48 : 42,478.46 = 16,634.30 : x
  2. Step 2: Convert to fraction form
    30,781.48/42,478.46 = 16,634.30/x
  3. Step 3: Cross multiply
    30,781.48x = 42,478.46 × 16,634.30
  4. Step 4: Simplify right side
    30,781.48x = 706,599,447.18
  5. Step 5: Solve for x
    x = 706,599,447.18/30,781.48
  6. Step 6: Final answer
    x = 22,955.34

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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.