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Finding the Fourth Proportional to 75,764.84, 113,479.11 and 49,024.85

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Solution

The fourth proportional to 75,764.84, 113,479.11 and 49,024.85 is: 73,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,764.84 : 113,479.11 = 49,024.85 : x
  2. Step 2: Convert to fraction form
    75,764.84/113,479.11 = 49,024.85/x
  3. Step 3: Cross multiply
    75,764.84x = 113,479.11 × 49,024.85
  4. Step 4: Simplify right side
    75,764.84x = 5,563,295,778.49
  5. Step 5: Solve for x
    x = 5,563,295,778.49/75,764.84
  6. Step 6: Final answer
    x = 73,428.47

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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.