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Finding the Fourth Proportional to 55,731, 83,609.46 and 40,120.68

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Solution

The fourth proportional to 55,731, 83,609.46 and 40,120.68 is: 60,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,731 : 83,609.46 = 40,120.68 : x
  2. Step 2: Convert to fraction form
    55,731/83,609.46 = 40,120.68/x
  3. Step 3: Cross multiply
    55,731x = 83,609.46 × 40,120.68
  4. Step 4: Simplify right side
    55,731x = 3,354,468,389.63
  5. Step 5: Solve for x
    x = 3,354,468,389.63/55,731
  6. Step 6: Final answer
    x = 60,190.35

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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.