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Finding the Fourth Proportional to 75,427.42, 113,142.17 and 19,267.99

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Solution

The fourth proportional to 75,427.42, 113,142.17 and 19,267.99 is: 28,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,427.42 : 113,142.17 = 19,267.99 : x
  2. Step 2: Convert to fraction form
    75,427.42/113,142.17 = 19,267.99/x
  3. Step 3: Cross multiply
    75,427.42x = 113,142.17 × 19,267.99
  4. Step 4: Simplify right side
    75,427.42x = 2,180,022,493.50
  5. Step 5: Solve for x
    x = 2,180,022,493.50/75,427.42
  6. Step 6: Final answer
    x = 28,902.25

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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.