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Finding the Fourth Proportional to 101,675.25, 152,512.88 and 27,803.25

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Solution

The fourth proportional to 101,675.25, 152,512.88 and 27,803.25 is: 41,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,675.25 : 152,512.88 = 27,803.25 : x
  2. Step 2: Convert to fraction form
    101,675.25/152,512.88 = 27,803.25/x
  3. Step 3: Cross multiply
    101,675.25x = 152,512.88 × 27,803.25
  4. Step 4: Simplify right side
    101,675.25x = 4,240,353,591.84
  5. Step 5: Solve for x
    x = 4,240,353,591.84/101,675.25
  6. Step 6: Final answer
    x = 41,704.88

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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.