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Finding the Fourth Proportional to 101,375, 152,063.06 and 27,503

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Solution

The fourth proportional to 101,375, 152,063.06 and 27,503 is: 41,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,375 : 152,063.06 = 27,503 : x
  2. Step 2: Convert to fraction form
    101,375/152,063.06 = 27,503/x
  3. Step 3: Cross multiply
    101,375x = 152,063.06 × 27,503
  4. Step 4: Simplify right side
    101,375x = 4,182,190,339.18
  5. Step 5: Solve for x
    x = 4,182,190,339.18/101,375
  6. Step 6: Final answer
    x = 41,254.65

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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.