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Finding the Fourth Proportional to 55,748.38, 76,932.76 and 30,599.50

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Solution

The fourth proportional to 55,748.38, 76,932.76 and 30,599.50 is: 42,227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,748.38 : 76,932.76 = 30,599.50 : x
  2. Step 2: Convert to fraction form
    55,748.38/76,932.76 = 30,599.50/x
  3. Step 3: Cross multiply
    55,748.38x = 76,932.76 × 30,599.50
  4. Step 4: Simplify right side
    55,748.38x = 2,354,103,604.96
  5. Step 5: Solve for x
    x = 2,354,103,604.96/55,748.38
  6. Step 6: Final answer
    x = 42,227.30

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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.