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Finding the Fourth Proportional to 31,748.37, 43,813.25 and 17,409.51

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Solution

The fourth proportional to 31,748.37, 43,813.25 and 17,409.51 is: 24,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,748.37 : 43,813.25 = 17,409.51 : x
  2. Step 2: Convert to fraction form
    31,748.37/43,813.25 = 17,409.51/x
  3. Step 3: Cross multiply
    31,748.37x = 43,813.25 × 17,409.51
  4. Step 4: Simplify right side
    31,748.37x = 762,767,214.01
  5. Step 5: Solve for x
    x = 762,767,214.01/31,748.37
  6. Step 6: Final answer
    x = 24,025.40

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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.