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Finding the Fourth Proportional to 75,177, 112,773.06 and 27,804.60

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Solution

The fourth proportional to 75,177, 112,773.06 and 27,804.60 is: 41,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,177 : 112,773.06 = 27,804.60 : x
  2. Step 2: Convert to fraction form
    75,177/112,773.06 = 27,804.60/x
  3. Step 3: Cross multiply
    75,177x = 112,773.06 × 27,804.60
  4. Step 4: Simplify right side
    75,177x = 3,135,609,824.08
  5. Step 5: Solve for x
    x = 3,135,609,824.08/75,177
  6. Step 6: Final answer
    x = 41,709.70

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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.