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Finding the Fourth Proportional to 30,891.50, 42,630.93 and 17,461.95

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Solution

The fourth proportional to 30,891.50, 42,630.93 and 17,461.95 is: 24,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.50 : 42,630.93 = 17,461.95 : x
  2. Step 2: Convert to fraction form
    30,891.50/42,630.93 = 17,461.95/x
  3. Step 3: Cross multiply
    30,891.50x = 42,630.93 × 17,461.95
  4. Step 4: Simplify right side
    30,891.50x = 744,419,168.11
  5. Step 5: Solve for x
    x = 744,419,168.11/30,891.50
  6. Step 6: Final answer
    x = 24,097.86

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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.