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Finding the Fourth Proportional to 117,638.40, 176,527.04 and 46,568

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Solution

The fourth proportional to 117,638.40, 176,527.04 and 46,568 is: 69,879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,638.40 : 176,527.04 = 46,568 : x
  2. Step 2: Convert to fraction form
    117,638.40/176,527.04 = 46,568/x
  3. Step 3: Cross multiply
    117,638.40x = 176,527.04 × 46,568
  4. Step 4: Simplify right side
    117,638.40x = 8,220,511,198.72
  5. Step 5: Solve for x
    x = 8,220,511,198.72/117,638.40
  6. Step 6: Final answer
    x = 69,879.49

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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.