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Finding the Fourth Proportional to 118,006.46, 176,971.41 and 39,099.50

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Solution

The fourth proportional to 118,006.46, 176,971.41 and 39,099.50 is: 58,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,006.46 : 176,971.41 = 39,099.50 : x
  2. Step 2: Convert to fraction form
    118,006.46/176,971.41 = 39,099.50/x
  3. Step 3: Cross multiply
    118,006.46x = 176,971.41 × 39,099.50
  4. Step 4: Simplify right side
    118,006.46x = 6,919,493,645.30
  5. Step 5: Solve for x
    x = 6,919,493,645.30/118,006.46
  6. Step 6: Final answer
    x = 58,636.57

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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.