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Finding the Fourth Proportional to 38,604.84, 57,800.76 and 19,844.40

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Solution

The fourth proportional to 38,604.84, 57,800.76 and 19,844.40 is: 29,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,604.84 : 57,800.76 = 19,844.40 : x
  2. Step 2: Convert to fraction form
    38,604.84/57,800.76 = 19,844.40/x
  3. Step 3: Cross multiply
    38,604.84x = 57,800.76 × 19,844.40
  4. Step 4: Simplify right side
    38,604.84x = 1,147,021,401.74
  5. Step 5: Solve for x
    x = 1,147,021,401.74/38,604.84
  6. Step 6: Final answer
    x = 29,711.85

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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.