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Finding the Fourth Proportional to 98,093.53, 147,141.65 and 27,972.83

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Solution

The fourth proportional to 98,093.53, 147,141.65 and 27,972.83 is: 41,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,093.53 : 147,141.65 = 27,972.83 : x
  2. Step 2: Convert to fraction form
    98,093.53/147,141.65 = 27,972.83/x
  3. Step 3: Cross multiply
    98,093.53x = 147,141.65 × 27,972.83
  4. Step 4: Simplify right side
    98,093.53x = 4,115,968,361.37
  5. Step 5: Solve for x
    x = 4,115,968,361.37/98,093.53
  6. Step 6: Final answer
    x = 41,959.63

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1.5x scale

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.