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Finding the Fourth Proportional to 117,779.50, 176,708.13 and 47,620.54

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Solution

The fourth proportional to 117,779.50, 176,708.13 and 47,620.54 is: 71,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,779.50 : 176,708.13 = 47,620.54 : x
  2. Step 2: Convert to fraction form
    117,779.50/176,708.13 = 47,620.54/x
  3. Step 3: Cross multiply
    117,779.50x = 176,708.13 × 47,620.54
  4. Step 4: Simplify right side
    117,779.50x = 8,414,936,572.99
  5. Step 5: Solve for x
    x = 8,414,936,572.99/117,779.50
  6. Step 6: Final answer
    x = 71,446.53

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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.