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Finding the Fourth Proportional to 31,752.06, 43,816.02 and 17,409.12

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Solution

The fourth proportional to 31,752.06, 43,816.02 and 17,409.12 is: 24,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,752.06 : 43,816.02 = 17,409.12 : x
  2. Step 2: Convert to fraction form
    31,752.06/43,816.02 = 17,409.12/x
  3. Step 3: Cross multiply
    31,752.06x = 43,816.02 × 17,409.12
  4. Step 4: Simplify right side
    31,752.06x = 762,798,350.10
  5. Step 5: Solve for x
    x = 762,798,350.10/31,752.06
  6. Step 6: Final answer
    x = 24,023.59

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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.