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Finding the Fourth Proportional to 92,045.82, 138,052.53 and 24,578.69

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Solution

The fourth proportional to 92,045.82, 138,052.53 and 24,578.69 is: 36,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,045.82 : 138,052.53 = 24,578.69 : x
  2. Step 2: Convert to fraction form
    92,045.82/138,052.53 = 24,578.69/x
  3. Step 3: Cross multiply
    92,045.82x = 138,052.53 × 24,578.69
  4. Step 4: Simplify right side
    92,045.82x = 3,393,150,338.59
  5. Step 5: Solve for x
    x = 3,393,150,338.59/92,045.82
  6. Step 6: Final answer
    x = 36,863.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.