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Finding the Fourth Proportional to 76,156.36, 105,092.34 and 42,162.46

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Solution

The fourth proportional to 76,156.36, 105,092.34 and 42,162.46 is: 58,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,156.36 : 105,092.34 = 42,162.46 : x
  2. Step 2: Convert to fraction form
    76,156.36/105,092.34 = 42,162.46/x
  3. Step 3: Cross multiply
    76,156.36x = 105,092.34 × 42,162.46
  4. Step 4: Simplify right side
    76,156.36x = 4,430,951,581.56
  5. Step 5: Solve for x
    x = 4,430,951,581.56/76,156.36
  6. Step 6: Final answer
    x = 58,182.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.