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Finding the Fourth Proportional to 117,302, 175,934.52 and 38,414.48

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Solution

The fourth proportional to 117,302, 175,934.52 and 38,414.48 is: 57,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,302 : 175,934.52 = 38,414.48 : x
  2. Step 2: Convert to fraction form
    117,302/175,934.52 = 38,414.48/x
  3. Step 3: Cross multiply
    117,302x = 175,934.52 × 38,414.48
  4. Step 4: Simplify right side
    117,302x = 6,758,433,099.85
  5. Step 5: Solve for x
    x = 6,758,433,099.85/117,302
  6. Step 6: Final answer
    x = 57,615.67

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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.