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Finding the Fourth Proportional to 42,033, 58,005.92 and 23,170.80

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Solution

The fourth proportional to 42,033, 58,005.92 and 23,170.80 is: 31,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,033 : 58,005.92 = 23,170.80 : x
  2. Step 2: Convert to fraction form
    42,033/58,005.92 = 23,170.80/x
  3. Step 3: Cross multiply
    42,033x = 58,005.92 × 23,170.80
  4. Step 4: Simplify right side
    42,033x = 1,344,043,571.14
  5. Step 5: Solve for x
    x = 1,344,043,571.14/42,033
  6. Step 6: Final answer
    x = 31,975.91

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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.