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Finding the Fourth Proportional to 30,711.90, 46,068.81 and 11,991.18

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Solution

The fourth proportional to 30,711.90, 46,068.81 and 11,991.18 is: 17,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,711.90 : 46,068.81 = 11,991.18 : x
  2. Step 2: Convert to fraction form
    30,711.90/46,068.81 = 11,991.18/x
  3. Step 3: Cross multiply
    30,711.90x = 46,068.81 × 11,991.18
  4. Step 4: Simplify right side
    30,711.90x = 552,419,393.10
  5. Step 5: Solve for x
    x = 552,419,393.10/30,711.90
  6. Step 6: Final answer
    x = 17,987.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.