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Finding the Fourth Proportional to 96,468.37, 133,102.31 and 55,644.98

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Solution

The fourth proportional to 96,468.37, 133,102.31 and 55,644.98 is: 76,776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,468.37 : 133,102.31 = 55,644.98 : x
  2. Step 2: Convert to fraction form
    96,468.37/133,102.31 = 55,644.98/x
  3. Step 3: Cross multiply
    96,468.37x = 133,102.31 × 55,644.98
  4. Step 4: Simplify right side
    96,468.37x = 7,406,474,933.30
  5. Step 5: Solve for x
    x = 7,406,474,933.30/96,468.37
  6. Step 6: Final answer
    x = 76,776.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.