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Finding the Fourth Proportional to 30,701.97, 42,365.29 and 17,277.84

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Solution

The fourth proportional to 30,701.97, 42,365.29 and 17,277.84 is: 23,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,701.97 : 42,365.29 = 17,277.84 : x
  2. Step 2: Convert to fraction form
    30,701.97/42,365.29 = 17,277.84/x
  3. Step 3: Cross multiply
    30,701.97x = 42,365.29 × 17,277.84
  4. Step 4: Simplify right side
    30,701.97x = 731,980,817.85
  5. Step 5: Solve for x
    x = 731,980,817.85/30,701.97
  6. Step 6: Final answer
    x = 23,841.49

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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.