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Finding the Fourth Proportional to 76,122.20, 105,046.46 and 42,132.08

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Solution

The fourth proportional to 76,122.20, 105,046.46 and 42,132.08 is: 58,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,122.20 : 105,046.46 = 42,132.08 : x
  2. Step 2: Convert to fraction form
    76,122.20/105,046.46 = 42,132.08/x
  3. Step 3: Cross multiply
    76,122.20x = 105,046.46 × 42,132.08
  4. Step 4: Simplify right side
    76,122.20x = 4,425,825,856.44
  5. Step 5: Solve for x
    x = 4,425,825,856.44/76,122.20
  6. Step 6: Final answer
    x = 58,141.07

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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.