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Finding the Fourth Proportional to 50,078.95, 75,128.44 and 18,489.20

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Solution

The fourth proportional to 50,078.95, 75,128.44 and 18,489.20 is: 27,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,078.95 : 75,128.44 = 18,489.20 : x
  2. Step 2: Convert to fraction form
    50,078.95/75,128.44 = 18,489.20/x
  3. Step 3: Cross multiply
    50,078.95x = 75,128.44 × 18,489.20
  4. Step 4: Simplify right side
    50,078.95x = 1,389,064,752.85
  5. Step 5: Solve for x
    x = 1,389,064,752.85/50,078.95
  6. Step 6: Final answer
    x = 27,737.50

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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.