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Finding the Fourth Proportional to 42,013.63, 57,980.02 and 23,151.97

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Solution

The fourth proportional to 42,013.63, 57,980.02 and 23,151.97 is: 31,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,013.63 : 57,980.02 = 23,151.97 : x
  2. Step 2: Convert to fraction form
    42,013.63/57,980.02 = 23,151.97/x
  3. Step 3: Cross multiply
    42,013.63x = 57,980.02 × 23,151.97
  4. Step 4: Simplify right side
    42,013.63x = 1,342,351,393.74
  5. Step 5: Solve for x
    x = 1,342,351,393.74/42,013.63
  6. Step 6: Final answer
    x = 31,950.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.