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Finding the Fourth Proportional to 55,153, 76,105.38 and 31,272.04

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Solution

The fourth proportional to 55,153, 76,105.38 and 31,272.04 is: 43,152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,153 : 76,105.38 = 31,272.04 : x
  2. Step 2: Convert to fraction form
    55,153/76,105.38 = 31,272.04/x
  3. Step 3: Cross multiply
    55,153x = 76,105.38 × 31,272.04
  4. Step 4: Simplify right side
    55,153x = 2,379,970,487.58
  5. Step 5: Solve for x
    x = 2,379,970,487.58/55,153
  6. Step 6: Final answer
    x = 43,152.15

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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.