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Finding the Fourth Proportional to 30,895.84, 42,634.58 and 17,466.31

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Solution

The fourth proportional to 30,895.84, 42,634.58 and 17,466.31 is: 24,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,895.84 : 42,634.58 = 17,466.31 : x
  2. Step 2: Convert to fraction form
    30,895.84/42,634.58 = 17,466.31/x
  3. Step 3: Cross multiply
    30,895.84x = 42,634.58 × 17,466.31
  4. Step 4: Simplify right side
    30,895.84x = 744,668,791.00
  5. Step 5: Solve for x
    x = 744,668,791.00/30,895.84
  6. Step 6: Final answer
    x = 24,102.56

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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.