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Finding the Fourth Proportional to 75,164.84, 112,747.18 and 30,791.67

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Solution

The fourth proportional to 75,164.84, 112,747.18 and 30,791.67 is: 46,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,164.84 : 112,747.18 = 30,791.67 : x
  2. Step 2: Convert to fraction form
    75,164.84/112,747.18 = 30,791.67/x
  3. Step 3: Cross multiply
    75,164.84x = 112,747.18 × 30,791.67
  4. Step 4: Simplify right side
    75,164.84x = 3,471,673,959.99
  5. Step 5: Solve for x
    x = 3,471,673,959.99/75,164.84
  6. Step 6: Final answer
    x = 46,187.47

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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.