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Finding the Fourth Proportional to 55,199.34, 82,799.83 and 15,756.48

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Solution

The fourth proportional to 55,199.34, 82,799.83 and 15,756.48 is: 23,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,199.34 : 82,799.83 = 15,756.48 : x
  2. Step 2: Convert to fraction form
    55,199.34/82,799.83 = 15,756.48/x
  3. Step 3: Cross multiply
    55,199.34x = 82,799.83 × 15,756.48
  4. Step 4: Simplify right side
    55,199.34x = 1,304,634,195.59
  5. Step 5: Solve for x
    x = 1,304,634,195.59/55,199.34
  6. Step 6: Final answer
    x = 23,634.96

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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.