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Finding the Fourth Proportional to 84,113.84, 126,353.93 and 50,849.57

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Solution

The fourth proportional to 84,113.84, 126,353.93 and 50,849.57 is: 76,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,113.84 : 126,353.93 = 50,849.57 : x
  2. Step 2: Convert to fraction form
    84,113.84/126,353.93 = 50,849.57/x
  3. Step 3: Cross multiply
    84,113.84x = 126,353.93 × 50,849.57
  4. Step 4: Simplify right side
    84,113.84x = 6,425,043,069.95
  5. Step 5: Solve for x
    x = 6,425,043,069.95/84,113.84
  6. Step 6: Final answer
    x = 76,385.09

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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.