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Finding the Fourth Proportional to 37,077, 55,615.80 and 9,375

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Solution

The fourth proportional to 37,077, 55,615.80 and 9,375 is: 14,062.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,077 : 55,615.80 = 9,375 : x
  2. Step 2: Convert to fraction form
    37,077/55,615.80 = 9,375/x
  3. Step 3: Cross multiply
    37,077x = 55,615.80 × 9,375
  4. Step 4: Simplify right side
    37,077x = 521,398,125
  5. Step 5: Solve for x
    x = 521,398,125/37,077
  6. Step 6: Final answer
    x = 14,062.58

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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.