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Finding the Fourth Proportional to 42,381.57, 58,495.87 and 33,164.88

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Solution

The fourth proportional to 42,381.57, 58,495.87 and 33,164.88 is: 45,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,381.57 : 58,495.87 = 33,164.88 : x
  2. Step 2: Convert to fraction form
    42,381.57/58,495.87 = 33,164.88/x
  3. Step 3: Cross multiply
    42,381.57x = 58,495.87 × 33,164.88
  4. Step 4: Simplify right side
    42,381.57x = 1,940,008,509.05
  5. Step 5: Solve for x
    x = 1,940,008,509.05/42,381.57
  6. Step 6: Final answer
    x = 45,774.81

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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.