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Finding the Fourth Proportional to 118,491.96, 177,737.76 and 47,446.56

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Solution

The fourth proportional to 118,491.96, 177,737.76 and 47,446.56 is: 71,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,491.96 : 177,737.76 = 47,446.56 : x
  2. Step 2: Convert to fraction form
    118,491.96/177,737.76 = 47,446.56/x
  3. Step 3: Cross multiply
    118,491.96x = 177,737.76 × 47,446.56
  4. Step 4: Simplify right side
    118,491.96x = 8,433,045,294.11
  5. Step 5: Solve for x
    x = 8,433,045,294.11/118,491.96
  6. Step 6: Final answer
    x = 71,169.77

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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.