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Finding the Fourth Proportional to 76,204.34, 105,162.82 and 42,213.34

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Solution

The fourth proportional to 76,204.34, 105,162.82 and 42,213.34 is: 58,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,204.34 : 105,162.82 = 42,213.34 : x
  2. Step 2: Convert to fraction form
    76,204.34/105,162.82 = 42,213.34/x
  3. Step 3: Cross multiply
    76,204.34x = 105,162.82 × 42,213.34
  4. Step 4: Simplify right side
    76,204.34x = 4,439,273,876.02
  5. Step 5: Solve for x
    x = 4,439,273,876.02/76,204.34
  6. Step 6: Final answer
    x = 58,254.87

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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.