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Finding the Fourth Proportional to 42,012.51, 57,974.63 and 23,149.63

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Solution

The fourth proportional to 42,012.51, 57,974.63 and 23,149.63 is: 31,945.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,012.51 : 57,974.63 = 23,149.63 : x
  2. Step 2: Convert to fraction form
    42,012.51/57,974.63 = 23,149.63/x
  3. Step 3: Cross multiply
    42,012.51x = 57,974.63 × 23,149.63
  4. Step 4: Simplify right side
    42,012.51x = 1,342,091,233.89
  5. Step 5: Solve for x
    x = 1,342,091,233.89/42,012.51
  6. Step 6: Final answer
    x = 31,945.04

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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.