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Finding the Fourth Proportional to 76,174.64, 105,103.60 and 48,964.94

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Solution

The fourth proportional to 76,174.64, 105,103.60 and 48,964.94 is: 67,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,174.64 : 105,103.60 = 48,964.94 : x
  2. Step 2: Convert to fraction form
    76,174.64/105,103.60 = 48,964.94/x
  3. Step 3: Cross multiply
    76,174.64x = 105,103.60 × 48,964.94
  4. Step 4: Simplify right side
    76,174.64x = 5,146,390,819.85
  5. Step 5: Solve for x
    x = 5,146,390,819.85/76,174.64
  6. Step 6: Final answer
    x = 67,560.43

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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.