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Finding the Fourth Proportional to 30,991.12, 42,767.02 and 17,378.26

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Solution

The fourth proportional to 30,991.12, 42,767.02 and 17,378.26 is: 23,981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.12 : 42,767.02 = 17,378.26 : x
  2. Step 2: Convert to fraction form
    30,991.12/42,767.02 = 17,378.26/x
  3. Step 3: Cross multiply
    30,991.12x = 42,767.02 × 17,378.26
  4. Step 4: Simplify right side
    30,991.12x = 743,216,392.99
  5. Step 5: Solve for x
    x = 743,216,392.99/30,991.12
  6. Step 6: Final answer
    x = 23,981.59

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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.