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Finding the Fourth Proportional to 50,122.88, 75,201.10 and 16,390.45

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Solution

The fourth proportional to 50,122.88, 75,201.10 and 16,390.45 is: 24,591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,122.88 : 75,201.10 = 16,390.45 : x
  2. Step 2: Convert to fraction form
    50,122.88/75,201.10 = 16,390.45/x
  3. Step 3: Cross multiply
    50,122.88x = 75,201.10 × 16,390.45
  4. Step 4: Simplify right side
    50,122.88x = 1,232,579,869.50
  5. Step 5: Solve for x
    x = 1,232,579,869.50/50,122.88
  6. Step 6: Final answer
    x = 24,591.16

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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.