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Finding the Fourth Proportional to 123,378.84, 185,069.35 and 29,884.68

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Solution

The fourth proportional to 123,378.84, 185,069.35 and 29,884.68 is: 44,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,378.84 : 185,069.35 = 29,884.68 : x
  2. Step 2: Convert to fraction form
    123,378.84/185,069.35 = 29,884.68/x
  3. Step 3: Cross multiply
    123,378.84x = 185,069.35 × 29,884.68
  4. Step 4: Simplify right side
    123,378.84x = 5,530,738,302.56
  5. Step 5: Solve for x
    x = 5,530,738,302.56/123,378.84
  6. Step 6: Final answer
    x = 44,827.28

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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.