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Finding the Fourth Proportional to 55,658.68, 76,808.12 and 30,164.33

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Solution

The fourth proportional to 55,658.68, 76,808.12 and 30,164.33 is: 41,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,658.68 : 76,808.12 = 30,164.33 : x
  2. Step 2: Convert to fraction form
    55,658.68/76,808.12 = 30,164.33/x
  3. Step 3: Cross multiply
    55,658.68x = 76,808.12 × 30,164.33
  4. Step 4: Simplify right side
    55,658.68x = 2,316,865,519.56
  5. Step 5: Solve for x
    x = 2,316,865,519.56/55,658.68
  6. Step 6: Final answer
    x = 41,626.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.