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Finding the Fourth Proportional to 97,150.44, 145,725.90 and 27,029.76

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Solution

The fourth proportional to 97,150.44, 145,725.90 and 27,029.76 is: 40,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,150.44 : 145,725.90 = 27,029.76 : x
  2. Step 2: Convert to fraction form
    97,150.44/145,725.90 = 27,029.76/x
  3. Step 3: Cross multiply
    97,150.44x = 145,725.90 × 27,029.76
  4. Step 4: Simplify right side
    97,150.44x = 3,938,936,102.78
  5. Step 5: Solve for x
    x = 3,938,936,102.78/97,150.44
  6. Step 6: Final answer
    x = 40,544.71

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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.