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Finding the Fourth Proportional to 31,193.72, 43,047.30 and 17,580.68

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Solution

The fourth proportional to 31,193.72, 43,047.30 and 17,580.68 is: 24,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,193.72 : 43,047.30 = 17,580.68 : x
  2. Step 2: Convert to fraction form
    31,193.72/43,047.30 = 17,580.68/x
  3. Step 3: Cross multiply
    31,193.72x = 43,047.30 × 17,580.68
  4. Step 4: Simplify right side
    31,193.72x = 756,800,806.16
  5. Step 5: Solve for x
    x = 756,800,806.16/31,193.72
  6. Step 6: Final answer
    x = 24,261.32

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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.