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Finding the Fourth Proportional to 117,419.94, 176,093.04 and 38,515.68

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Solution

The fourth proportional to 117,419.94, 176,093.04 and 38,515.68 is: 57,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,419.94 : 176,093.04 = 38,515.68 : x
  2. Step 2: Convert to fraction form
    117,419.94/176,093.04 = 38,515.68/x
  3. Step 3: Cross multiply
    117,419.94x = 176,093.04 × 38,515.68
  4. Step 4: Simplify right side
    117,419.94x = 6,782,343,178.87
  5. Step 5: Solve for x
    x = 6,782,343,178.87/117,419.94
  6. Step 6: Final answer
    x = 57,761.43

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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.