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Finding the Fourth Proportional to 76,161.36, 105,099.02 and 42,167.49

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Solution

The fourth proportional to 76,161.36, 105,099.02 and 42,167.49 is: 58,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,161.36 : 105,099.02 = 42,167.49 : x
  2. Step 2: Convert to fraction form
    76,161.36/105,099.02 = 42,167.49/x
  3. Step 3: Cross multiply
    76,161.36x = 105,099.02 × 42,167.49
  4. Step 4: Simplify right side
    76,161.36x = 4,431,761,428.03
  5. Step 5: Solve for x
    x = 4,431,761,428.03/76,161.36
  6. Step 6: Final answer
    x = 58,189.10

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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.