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Finding the Fourth Proportional to 30,787.20, 42,483.99 and 20,158.38

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Solution

The fourth proportional to 30,787.20, 42,483.99 and 20,158.38 is: 27,817.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,787.20 : 42,483.99 = 20,158.38 : x
  2. Step 2: Convert to fraction form
    30,787.20/42,483.99 = 20,158.38/x
  3. Step 3: Cross multiply
    30,787.20x = 42,483.99 × 20,158.38
  4. Step 4: Simplify right side
    30,787.20x = 856,408,414.34
  5. Step 5: Solve for x
    x = 856,408,414.34/30,787.20
  6. Step 6: Final answer
    x = 27,817.03

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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.