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Finding the Fourth Proportional to 30,782.13, 42,479.42 and 17,353.41

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Solution

The fourth proportional to 30,782.13, 42,479.42 and 17,353.41 is: 23,947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.13 : 42,479.42 = 17,353.41 : x
  2. Step 2: Convert to fraction form
    30,782.13/42,479.42 = 17,353.41/x
  3. Step 3: Cross multiply
    30,782.13x = 42,479.42 × 17,353.41
  4. Step 4: Simplify right side
    30,782.13x = 737,162,705.06
  5. Step 5: Solve for x
    x = 737,162,705.06/30,782.13
  6. Step 6: Final answer
    x = 23,947.75

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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.