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Finding the Fourth Proportional to 76,096.52, 105,013.52 and 42,562.52

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Solution

The fourth proportional to 76,096.52, 105,013.52 and 42,562.52 is: 58,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,096.52 : 105,013.52 = 42,562.52 : x
  2. Step 2: Convert to fraction form
    76,096.52/105,013.52 = 42,562.52/x
  3. Step 3: Cross multiply
    76,096.52x = 105,013.52 × 42,562.52
  4. Step 4: Simplify right side
    76,096.52x = 4,469,640,045.27
  5. Step 5: Solve for x
    x = 4,469,640,045.27/76,096.52
  6. Step 6: Final answer
    x = 58,736.46

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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.