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Finding the Fourth Proportional to 101,696.87, 152,615.24 and 35,137.12

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Solution

The fourth proportional to 101,696.87, 152,615.24 and 35,137.12 is: 52,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,696.87 : 152,615.24 = 35,137.12 : x
  2. Step 2: Convert to fraction form
    101,696.87/152,615.24 = 35,137.12/x
  3. Step 3: Cross multiply
    101,696.87x = 152,615.24 × 35,137.12
  4. Step 4: Simplify right side
    101,696.87x = 5,362,459,433.17
  5. Step 5: Solve for x
    x = 5,362,459,433.17/101,696.87
  6. Step 6: Final answer
    x = 52,729.84

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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.