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Finding the Fourth Proportional to 31,154, 42,990.92 and 17,004.12

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Solution

The fourth proportional to 31,154, 42,990.92 and 17,004.12 is: 23,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154 : 42,990.92 = 17,004.12 : x
  2. Step 2: Convert to fraction form
    31,154/42,990.92 = 17,004.12/x
  3. Step 3: Cross multiply
    31,154x = 42,990.92 × 17,004.12
  4. Step 4: Simplify right side
    31,154x = 731,022,762.59
  5. Step 5: Solve for x
    x = 731,022,762.59/31,154
  6. Step 6: Final answer
    x = 23,464.81

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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.