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Finding the Fourth Proportional to 75,483.66, 113,225.50 and 33,882.06

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Solution

The fourth proportional to 75,483.66, 113,225.50 and 33,882.06 is: 50,823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,483.66 : 113,225.50 = 33,882.06 : x
  2. Step 2: Convert to fraction form
    75,483.66/113,225.50 = 33,882.06/x
  3. Step 3: Cross multiply
    75,483.66x = 113,225.50 × 33,882.06
  4. Step 4: Simplify right side
    75,483.66x = 3,836,313,184.53
  5. Step 5: Solve for x
    x = 3,836,313,184.53/75,483.66
  6. Step 6: Final answer
    x = 50,823.09

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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.