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Finding the Fourth Proportional to 76,227, 105,193.26 and 42,693

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Solution

The fourth proportional to 76,227, 105,193.26 and 42,693 is: 58,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,227 : 105,193.26 = 42,693 : x
  2. Step 2: Convert to fraction form
    76,227/105,193.26 = 42,693/x
  3. Step 3: Cross multiply
    76,227x = 105,193.26 × 42,693
  4. Step 4: Simplify right side
    76,227x = 4,491,015,849.18
  5. Step 5: Solve for x
    x = 4,491,015,849.18/76,227
  6. Step 6: Final answer
    x = 58,916.34

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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.