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Finding the Fourth Proportional to 117,782.44, 176,636.22 and 38,881.96

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Solution

The fourth proportional to 117,782.44, 176,636.22 and 38,881.96 is: 58,310.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,782.44 : 176,636.22 = 38,881.96 : x
  2. Step 2: Convert to fraction form
    117,782.44/176,636.22 = 38,881.96/x
  3. Step 3: Cross multiply
    117,782.44x = 176,636.22 × 38,881.96
  4. Step 4: Simplify right side
    117,782.44x = 6,867,962,440.59
  5. Step 5: Solve for x
    x = 6,867,962,440.59/117,782.44
  6. Step 6: Final answer
    x = 58,310.58

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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.