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Finding the Fourth Proportional to 28,077.20, 42,113.36 and 11,439

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Solution

The fourth proportional to 28,077.20, 42,113.36 and 11,439 is: 17,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,077.20 : 42,113.36 = 11,439 : x
  2. Step 2: Convert to fraction form
    28,077.20/42,113.36 = 11,439/x
  3. Step 3: Cross multiply
    28,077.20x = 42,113.36 × 11,439
  4. Step 4: Simplify right side
    28,077.20x = 481,734,725.04
  5. Step 5: Solve for x
    x = 481,734,725.04/28,077.20
  6. Step 6: Final answer
    x = 17,157.51

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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.