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Finding the Fourth Proportional to 55,138.60, 82,707.42 and 13,585.96

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Solution

The fourth proportional to 55,138.60, 82,707.42 and 13,585.96 is: 20,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,138.60 : 82,707.42 = 13,585.96 : x
  2. Step 2: Convert to fraction form
    55,138.60/82,707.42 = 13,585.96/x
  3. Step 3: Cross multiply
    55,138.60x = 82,707.42 × 13,585.96
  4. Step 4: Simplify right side
    55,138.60x = 1,123,659,699.82
  5. Step 5: Solve for x
    x = 1,123,659,699.82/55,138.60
  6. Step 6: Final answer
    x = 20,378.82

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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.