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Finding the Fourth Proportional to 42,174.94, 58,201.05 and 23,311.66

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Solution

The fourth proportional to 42,174.94, 58,201.05 and 23,311.66 is: 32,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,174.94 : 58,201.05 = 23,311.66 : x
  2. Step 2: Convert to fraction form
    42,174.94/58,201.05 = 23,311.66/x
  3. Step 3: Cross multiply
    42,174.94x = 58,201.05 × 23,311.66
  4. Step 4: Simplify right side
    42,174.94x = 1,356,763,089.24
  5. Step 5: Solve for x
    x = 1,356,763,089.24/42,174.94
  6. Step 6: Final answer
    x = 32,169.89

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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.