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Finding the Fourth Proportional to 30,900.80, 42,645.75 and 17,474.43

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Solution

The fourth proportional to 30,900.80, 42,645.75 and 17,474.43 is: 24,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900.80 : 42,645.75 = 17,474.43 : x
  2. Step 2: Convert to fraction form
    30,900.80/42,645.75 = 17,474.43/x
  3. Step 3: Cross multiply
    30,900.80x = 42,645.75 × 17,474.43
  4. Step 4: Simplify right side
    30,900.80x = 745,210,173.17
  5. Step 5: Solve for x
    x = 745,210,173.17/30,900.80
  6. Step 6: Final answer
    x = 24,116.21

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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.