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Finding the Fourth Proportional to 42,008.73, 57,972.23 and 23,145.86

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Solution

The fourth proportional to 42,008.73, 57,972.23 and 23,145.86 is: 31,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,008.73 : 57,972.23 = 23,145.86 : x
  2. Step 2: Convert to fraction form
    42,008.73/57,972.23 = 23,145.86/x
  3. Step 3: Cross multiply
    42,008.73x = 57,972.23 × 23,145.86
  4. Step 4: Simplify right side
    42,008.73x = 1,341,816,713.88
  5. Step 5: Solve for x
    x = 1,341,816,713.88/42,008.73
  6. Step 6: Final answer
    x = 31,941.38

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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.