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Finding the Fourth Proportional to 39,150.56, 54,012.08 and 22,380

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Solution

The fourth proportional to 39,150.56, 54,012.08 and 22,380 is: 30,875.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,150.56 : 54,012.08 = 22,380 : x
  2. Step 2: Convert to fraction form
    39,150.56/54,012.08 = 22,380/x
  3. Step 3: Cross multiply
    39,150.56x = 54,012.08 × 22,380
  4. Step 4: Simplify right side
    39,150.56x = 1,208,790,350.40
  5. Step 5: Solve for x
    x = 1,208,790,350.40/39,150.56
  6. Step 6: Final answer
    x = 30,875.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.