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Finding the Fourth Proportional to 30,971.82, 42,739 and 16,824.36

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Solution

The fourth proportional to 30,971.82, 42,739 and 16,824.36 is: 23,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.82 : 42,739 = 16,824.36 : x
  2. Step 2: Convert to fraction form
    30,971.82/42,739 = 16,824.36/x
  3. Step 3: Cross multiply
    30,971.82x = 42,739 × 16,824.36
  4. Step 4: Simplify right side
    30,971.82x = 719,056,322.04
  5. Step 5: Solve for x
    x = 719,056,322.04/30,971.82
  6. Step 6: Final answer
    x = 23,216.47

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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.