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Finding the Fourth Proportional to 81,953.25, 122,951 and 44,503.71

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Solution

The fourth proportional to 81,953.25, 122,951 and 44,503.71 is: 66,767.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,953.25 : 122,951 = 44,503.71 : x
  2. Step 2: Convert to fraction form
    81,953.25/122,951 = 44,503.71/x
  3. Step 3: Cross multiply
    81,953.25x = 122,951 × 44,503.71
  4. Step 4: Simplify right side
    81,953.25x = 5,471,775,648.21
  5. Step 5: Solve for x
    x = 5,471,775,648.21/81,953.25
  6. Step 6: Final answer
    x = 66,767.04

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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.