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Finding the Fourth Proportional to 98,093.04, 147,140.90 and 27,972.33

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Solution

The fourth proportional to 98,093.04, 147,140.90 and 27,972.33 is: 41,958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,093.04 : 147,140.90 = 27,972.33 : x
  2. Step 2: Convert to fraction form
    98,093.04/147,140.90 = 27,972.33/x
  3. Step 3: Cross multiply
    98,093.04x = 147,140.90 × 27,972.33
  4. Step 4: Simplify right side
    98,093.04x = 4,115,873,671.44
  5. Step 5: Solve for x
    x = 4,115,873,671.44/98,093.04
  6. Step 6: Final answer
    x = 41,958.88

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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.