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Finding the Fourth Proportional to 31,814.56, 47,707.92 and 13,082.08

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Solution

The fourth proportional to 31,814.56, 47,707.92 and 13,082.08 is: 19,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,814.56 : 47,707.92 = 13,082.08 : x
  2. Step 2: Convert to fraction form
    31,814.56/47,707.92 = 13,082.08/x
  3. Step 3: Cross multiply
    31,814.56x = 47,707.92 × 13,082.08
  4. Step 4: Simplify right side
    31,814.56x = 624,118,826.07
  5. Step 5: Solve for x
    x = 624,118,826.07/31,814.56
  6. Step 6: Final answer
    x = 19,617.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.