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Finding the Fourth Proportional to 42,632.82, 58,832.49 and 23,514.38

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Solution

The fourth proportional to 42,632.82, 58,832.49 and 23,514.38 is: 32,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,632.82 : 58,832.49 = 23,514.38 : x
  2. Step 2: Convert to fraction form
    42,632.82/58,832.49 = 23,514.38/x
  3. Step 3: Cross multiply
    42,632.82x = 58,832.49 × 23,514.38
  4. Step 4: Simplify right side
    42,632.82x = 1,383,409,232.04
  5. Step 5: Solve for x
    x = 1,383,409,232.04/42,632.82
  6. Step 6: Final answer
    x = 32,449.40

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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.