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Finding the Fourth Proportional to 42,005.41, 57,967.43 and 23,142.54

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Solution

The fourth proportional to 42,005.41, 57,967.43 and 23,142.54 is: 31,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,005.41 : 57,967.43 = 23,142.54 : x
  2. Step 2: Convert to fraction form
    42,005.41/57,967.43 = 23,142.54/x
  3. Step 3: Cross multiply
    42,005.41x = 57,967.43 × 23,142.54
  4. Step 4: Simplify right side
    42,005.41x = 1,341,513,407.85
  5. Step 5: Solve for x
    x = 1,341,513,407.85/42,005.41
  6. Step 6: Final answer
    x = 31,936.68

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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.