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Finding the Fourth Proportional to 101,246.57, 151,894.46 and 31,125.88

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Solution

The fourth proportional to 101,246.57, 151,894.46 and 31,125.88 is: 46,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,246.57 : 151,894.46 = 31,125.88 : x
  2. Step 2: Convert to fraction form
    101,246.57/151,894.46 = 31,125.88/x
  3. Step 3: Cross multiply
    101,246.57x = 151,894.46 × 31,125.88
  4. Step 4: Simplify right side
    101,246.57x = 4,727,848,734.62
  5. Step 5: Solve for x
    x = 4,727,848,734.62/101,246.57
  6. Step 6: Final answer
    x = 46,696.38

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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.