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Finding the Fourth Proportional to 76,382.22, 105,408.61 and 42,392.90

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Solution

The fourth proportional to 76,382.22, 105,408.61 and 42,392.90 is: 58,502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,382.22 : 105,408.61 = 42,392.90 : x
  2. Step 2: Convert to fraction form
    76,382.22/105,408.61 = 42,392.90/x
  3. Step 3: Cross multiply
    76,382.22x = 105,408.61 × 42,392.90
  4. Step 4: Simplify right side
    76,382.22x = 4,468,576,820.41
  5. Step 5: Solve for x
    x = 4,468,576,820.41/76,382.22
  6. Step 6: Final answer
    x = 58,502.84

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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.