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Finding the Fourth Proportional to 117,311.82, 175,930.68 and 38,407.92

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Solution

The fourth proportional to 117,311.82, 175,930.68 and 38,407.92 is: 57,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,311.82 : 175,930.68 = 38,407.92 : x
  2. Step 2: Convert to fraction form
    117,311.82/175,930.68 = 38,407.92/x
  3. Step 3: Cross multiply
    117,311.82x = 175,930.68 × 38,407.92
  4. Step 4: Simplify right side
    117,311.82x = 6,757,131,482.99
  5. Step 5: Solve for x
    x = 6,757,131,482.99/117,311.82
  6. Step 6: Final answer
    x = 57,599.75

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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.