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Finding the Fourth Proportional to 97,493.94, 146,240.24 and 27,373.32

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Solution

The fourth proportional to 97,493.94, 146,240.24 and 27,373.32 is: 41,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,493.94 : 146,240.24 = 27,373.32 : x
  2. Step 2: Convert to fraction form
    97,493.94/146,240.24 = 27,373.32/x
  3. Step 3: Cross multiply
    97,493.94x = 146,240.24 × 27,373.32
  4. Step 4: Simplify right side
    97,493.94x = 4,003,080,749.53
  5. Step 5: Solve for x
    x = 4,003,080,749.53/97,493.94
  6. Step 6: Final answer
    x = 41,059.79

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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.