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Finding the Fourth Proportional to 42,575.81, 58,750.13 and 24,676.43

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Solution

The fourth proportional to 42,575.81, 58,750.13 and 24,676.43 is: 34,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,575.81 : 58,750.13 = 24,676.43 : x
  2. Step 2: Convert to fraction form
    42,575.81/58,750.13 = 24,676.43/x
  3. Step 3: Cross multiply
    42,575.81x = 58,750.13 × 24,676.43
  4. Step 4: Simplify right side
    42,575.81x = 1,449,743,238.38
  5. Step 5: Solve for x
    x = 1,449,743,238.38/42,575.81
  6. Step 6: Final answer
    x = 34,050.87

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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.