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Finding the Fourth Proportional to 55,740.68, 83,617.38 and 20,218.76

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Solution

The fourth proportional to 55,740.68, 83,617.38 and 20,218.76 is: 30,330.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,740.68 : 83,617.38 = 20,218.76 : x
  2. Step 2: Convert to fraction form
    55,740.68/83,617.38 = 20,218.76/x
  3. Step 3: Cross multiply
    55,740.68x = 83,617.38 × 20,218.76
  4. Step 4: Simplify right side
    55,740.68x = 1,690,639,738.05
  5. Step 5: Solve for x
    x = 1,690,639,738.05/55,740.68
  6. Step 6: Final answer
    x = 30,330.45

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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.