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Finding the Fourth Proportional to 37,667.60, 56,503.56 and 11,375

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Solution

The fourth proportional to 37,667.60, 56,503.56 and 11,375 is: 17,063.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,667.60 : 56,503.56 = 11,375 : x
  2. Step 2: Convert to fraction form
    37,667.60/56,503.56 = 11,375/x
  3. Step 3: Cross multiply
    37,667.60x = 56,503.56 × 11,375
  4. Step 4: Simplify right side
    37,667.60x = 642,727,995
  5. Step 5: Solve for x
    x = 642,727,995/37,667.60
  6. Step 6: Final answer
    x = 17,063.15

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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.