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Finding the Fourth Proportional to 30,419.76, 41,980.91 and 16,991.31

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Solution

The fourth proportional to 30,419.76, 41,980.91 and 16,991.31 is: 23,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.76 : 41,980.91 = 16,991.31 : x
  2. Step 2: Convert to fraction form
    30,419.76/41,980.91 = 16,991.31/x
  3. Step 3: Cross multiply
    30,419.76x = 41,980.91 × 16,991.31
  4. Step 4: Simplify right side
    30,419.76x = 713,310,655.89
  5. Step 5: Solve for x
    x = 713,310,655.89/30,419.76
  6. Step 6: Final answer
    x = 23,448.92

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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.