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Finding the Fourth Proportional to 37,465.26, 51,712.83 and 24,727.74

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Solution

The fourth proportional to 37,465.26, 51,712.83 and 24,727.74 is: 34,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,465.26 : 51,712.83 = 24,727.74 : x
  2. Step 2: Convert to fraction form
    37,465.26/51,712.83 = 24,727.74/x
  3. Step 3: Cross multiply
    37,465.26x = 51,712.83 × 24,727.74
  4. Step 4: Simplify right side
    37,465.26x = 1,278,741,414.90
  5. Step 5: Solve for x
    x = 1,278,741,414.90/37,465.26
  6. Step 6: Final answer
    x = 34,131.39

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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.