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Finding the Fourth Proportional to 106,912.16, 160,446 and 47,814.56

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Solution

The fourth proportional to 106,912.16, 160,446 and 47,814.56 is: 71,756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,912.16 : 160,446 = 47,814.56 : x
  2. Step 2: Convert to fraction form
    106,912.16/160,446 = 47,814.56/x
  3. Step 3: Cross multiply
    106,912.16x = 160,446 × 47,814.56
  4. Step 4: Simplify right side
    106,912.16x = 7,671,654,893.76
  5. Step 5: Solve for x
    x = 7,671,654,893.76/106,912.16
  6. Step 6: Final answer
    x = 71,756.62

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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.