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Finding the Fourth Proportional to 76,472.10, 114,596.10 and 68,574.60

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Solution

The fourth proportional to 76,472.10, 114,596.10 and 68,574.60 is: 102,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,472.10 : 114,596.10 = 68,574.60 : x
  2. Step 2: Convert to fraction form
    76,472.10/114,596.10 = 68,574.60/x
  3. Step 3: Cross multiply
    76,472.10x = 114,596.10 × 68,574.60
  4. Step 4: Simplify right side
    76,472.10x = 7,858,381,719.06
  5. Step 5: Solve for x
    x = 7,858,381,719.06/76,472.10
  6. Step 6: Final answer
    x = 102,761.42

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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.