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Finding the Fourth Proportional to 55,797.54, 83,696.45 and 13,677.81

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Solution

The fourth proportional to 55,797.54, 83,696.45 and 13,677.81 is: 20,516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,797.54 : 83,696.45 = 13,677.81 : x
  2. Step 2: Convert to fraction form
    55,797.54/83,696.45 = 13,677.81/x
  3. Step 3: Cross multiply
    55,797.54x = 83,696.45 × 13,677.81
  4. Step 4: Simplify right side
    55,797.54x = 1,144,784,072.39
  5. Step 5: Solve for x
    x = 1,144,784,072.39/55,797.54
  6. Step 6: Final answer
    x = 20,516.75

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Why These Related Problems?

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