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Finding the Fourth Proportional to 75,293.80, 112,951.44 and 24,682

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Solution

The fourth proportional to 75,293.80, 112,951.44 and 24,682 is: 37,026.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,293.80 : 112,951.44 = 24,682 : x
  2. Step 2: Convert to fraction form
    75,293.80/112,951.44 = 24,682/x
  3. Step 3: Cross multiply
    75,293.80x = 112,951.44 × 24,682
  4. Step 4: Simplify right side
    75,293.80x = 2,787,867,442.08
  5. Step 5: Solve for x
    x = 2,787,867,442.08/75,293.80
  6. Step 6: Final answer
    x = 37,026.52

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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.