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Finding the Fourth Proportional to 46,738.58, 70,028.09 and 25,696.24

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Solution

The fourth proportional to 46,738.58, 70,028.09 and 25,696.24 is: 38,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,738.58 : 70,028.09 = 25,696.24 : x
  2. Step 2: Convert to fraction form
    46,738.58/70,028.09 = 25,696.24/x
  3. Step 3: Cross multiply
    46,738.58x = 70,028.09 × 25,696.24
  4. Step 4: Simplify right side
    46,738.58x = 1,799,458,544.73
  5. Step 5: Solve for x
    x = 1,799,458,544.73/46,738.58
  6. Step 6: Final answer
    x = 38,500.50

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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.