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Finding the Fourth Proportional to 55,200, 76,176 and 30,049.68

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Solution

The fourth proportional to 55,200, 76,176 and 30,049.68 is: 41,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,200 : 76,176 = 30,049.68 : x
  2. Step 2: Convert to fraction form
    55,200/76,176 = 30,049.68/x
  3. Step 3: Cross multiply
    55,200x = 76,176 × 30,049.68
  4. Step 4: Simplify right side
    55,200x = 2,289,064,423.68
  5. Step 5: Solve for x
    x = 2,289,064,423.68/55,200
  6. Step 6: Final answer
    x = 41,468.56

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Why These Related Problems?

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