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Finding the Fourth Proportional to 76,446.53, 114,624.92 and 23,122.46

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Solution

The fourth proportional to 76,446.53, 114,624.92 and 23,122.46 is: 34,670.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,446.53 : 114,624.92 = 23,122.46 : x
  2. Step 2: Convert to fraction form
    76,446.53/114,624.92 = 23,122.46/x
  3. Step 3: Cross multiply
    76,446.53x = 114,624.92 × 23,122.46
  4. Step 4: Simplify right side
    76,446.53x = 2,650,410,472.07
  5. Step 5: Solve for x
    x = 2,650,410,472.07/76,446.53
  6. Step 6: Final answer
    x = 34,670.12

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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.