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Finding the Fourth Proportional to 97,697.00, 146,468.94 and 38,576.92

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Solution

The fourth proportional to 97,697.00, 146,468.94 and 38,576.92 is: 57,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,697.00 : 146,468.94 = 38,576.92 : x
  2. Step 2: Convert to fraction form
    97,697.00/146,468.94 = 38,576.92/x
  3. Step 3: Cross multiply
    97,697.00x = 146,468.94 × 38,576.92
  4. Step 4: Simplify right side
    97,697.00x = 5,650,320,142.36
  5. Step 5: Solve for x
    x = 5,650,320,142.36/97,697.00
  6. Step 6: Final answer
    x = 57,835.15

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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.