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Finding the Fourth Proportional to 42,012.72, 57,965.14 and 25,008.38

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Solution

The fourth proportional to 42,012.72, 57,965.14 and 25,008.38 is: 34,504.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,012.72 : 57,965.14 = 25,008.38 : x
  2. Step 2: Convert to fraction form
    42,012.72/57,965.14 = 25,008.38/x
  3. Step 3: Cross multiply
    42,012.72x = 57,965.14 × 25,008.38
  4. Step 4: Simplify right side
    42,012.72x = 1,449,614,247.87
  5. Step 5: Solve for x
    x = 1,449,614,247.87/42,012.72
  6. Step 6: Final answer
    x = 34,504.18

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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.