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Finding the Fourth Proportional to 62,338.50, 93,512.64 and 20,785.50

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Solution

The fourth proportional to 62,338.50, 93,512.64 and 20,785.50 is: 31,179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,338.50 : 93,512.64 = 20,785.50 : x
  2. Step 2: Convert to fraction form
    62,338.50/93,512.64 = 20,785.50/x
  3. Step 3: Cross multiply
    62,338.50x = 93,512.64 × 20,785.50
  4. Step 4: Simplify right side
    62,338.50x = 1,943,706,978.72
  5. Step 5: Solve for x
    x = 1,943,706,978.72/62,338.50
  6. Step 6: Final answer
    x = 31,179.88

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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.