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Finding the Fourth Proportional to 83,356.01, 125,037.96 and 27,196.01

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Solution

The fourth proportional to 83,356.01, 125,037.96 and 27,196.01 is: 40,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,356.01 : 125,037.96 = 27,196.01 : x
  2. Step 2: Convert to fraction form
    83,356.01/125,037.96 = 27,196.01/x
  3. Step 3: Cross multiply
    83,356.01x = 125,037.96 × 27,196.01
  4. Step 4: Simplify right side
    83,356.01x = 3,400,533,610.54
  5. Step 5: Solve for x
    x = 3,400,533,610.54/83,356.01
  6. Step 6: Final answer
    x = 40,795.30

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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.