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Finding the Fourth Proportional to 76,849.50, 106,052.31 and 41,521.50

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Solution

The fourth proportional to 76,849.50, 106,052.31 and 41,521.50 is: 57,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,849.50 : 106,052.31 = 41,521.50 : x
  2. Step 2: Convert to fraction form
    76,849.50/106,052.31 = 41,521.50/x
  3. Step 3: Cross multiply
    76,849.50x = 106,052.31 × 41,521.50
  4. Step 4: Simplify right side
    76,849.50x = 4,403,450,989.67
  5. Step 5: Solve for x
    x = 4,403,450,989.67/76,849.50
  6. Step 6: Final answer
    x = 57,299.67

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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.