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Finding the Fourth Proportional to 76,122.45, 105,046.81 and 42,132.33

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Solution

The fourth proportional to 76,122.45, 105,046.81 and 42,132.33 is: 58,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,122.45 : 105,046.81 = 42,132.33 : x
  2. Step 2: Convert to fraction form
    76,122.45/105,046.81 = 42,132.33/x
  3. Step 3: Cross multiply
    76,122.45x = 105,046.81 × 42,132.33
  4. Step 4: Simplify right side
    76,122.45x = 4,425,866,759.04
  5. Step 5: Solve for x
    x = 4,425,866,759.04/76,122.45
  6. Step 6: Final answer
    x = 58,141.41

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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.