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Finding the Fourth Proportional to 28,082.77, 42,112.45 and 11,431.50

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Solution

The fourth proportional to 28,082.77, 42,112.45 and 11,431.50 is: 17,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,082.77 : 42,112.45 = 11,431.50 : x
  2. Step 2: Convert to fraction form
    28,082.77/42,112.45 = 11,431.50/x
  3. Step 3: Cross multiply
    28,082.77x = 42,112.45 × 11,431.50
  4. Step 4: Simplify right side
    28,082.77x = 481,408,533.27
  5. Step 5: Solve for x
    x = 481,408,533.27/28,082.77
  6. Step 6: Final answer
    x = 17,142.49

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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.