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Finding the Fourth Proportional to 117,797.44, 176,658.72 and 38,896.96

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Solution

The fourth proportional to 117,797.44, 176,658.72 and 38,896.96 is: 58,333.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,797.44 : 176,658.72 = 38,896.96 : x
  2. Step 2: Convert to fraction form
    117,797.44/176,658.72 = 38,896.96/x
  3. Step 3: Cross multiply
    117,797.44x = 176,658.72 × 38,896.96
  4. Step 4: Simplify right side
    117,797.44x = 6,871,487,165.49
  5. Step 5: Solve for x
    x = 6,871,487,165.49/117,797.44
  6. Step 6: Final answer
    x = 58,333.08

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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.