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Finding the Fourth Proportional to 30,574.98, 42,197.49 and 17,999.46

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Solution

The fourth proportional to 30,574.98, 42,197.49 and 17,999.46 is: 24,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.98 : 42,197.49 = 17,999.46 : x
  2. Step 2: Convert to fraction form
    30,574.98/42,197.49 = 17,999.46/x
  3. Step 3: Cross multiply
    30,574.98x = 42,197.49 × 17,999.46
  4. Step 4: Simplify right side
    30,574.98x = 759,532,033.36
  5. Step 5: Solve for x
    x = 759,532,033.36/30,574.98
  6. Step 6: Final answer
    x = 24,841.62

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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.