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Finding the Fourth Proportional to 48,221.84, 72,379.51 and 23,279.44

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Solution

The fourth proportional to 48,221.84, 72,379.51 and 23,279.44 is: 34,941.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,221.84 : 72,379.51 = 23,279.44 : x
  2. Step 2: Convert to fraction form
    48,221.84/72,379.51 = 23,279.44/x
  3. Step 3: Cross multiply
    48,221.84x = 72,379.51 × 23,279.44
  4. Step 4: Simplify right side
    48,221.84x = 1,684,954,460.27
  5. Step 5: Solve for x
    x = 1,684,954,460.27/48,221.84
  6. Step 6: Final answer
    x = 34,941.73

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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.