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Finding the Fourth Proportional to 42,105.68, 58,109 and 40,796.96

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Solution

The fourth proportional to 42,105.68, 58,109 and 40,796.96 is: 56,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,105.68 : 58,109 = 40,796.96 : x
  2. Step 2: Convert to fraction form
    42,105.68/58,109 = 40,796.96/x
  3. Step 3: Cross multiply
    42,105.68x = 58,109 × 40,796.96
  4. Step 4: Simplify right side
    42,105.68x = 2,370,670,548.64
  5. Step 5: Solve for x
    x = 2,370,670,548.64/42,105.68
  6. Step 6: Final answer
    x = 56,302.87

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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.