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Finding the Fourth Proportional to 37,125.34, 51,232.74 and 20,129.41

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Solution

The fourth proportional to 37,125.34, 51,232.74 and 20,129.41 is: 27,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,125.34 : 51,232.74 = 20,129.41 : x
  2. Step 2: Convert to fraction form
    37,125.34/51,232.74 = 20,129.41/x
  3. Step 3: Cross multiply
    37,125.34x = 51,232.74 × 20,129.41
  4. Step 4: Simplify right side
    37,125.34x = 1,031,284,751.13
  5. Step 5: Solve for x
    x = 1,031,284,751.13/37,125.34
  6. Step 6: Final answer
    x = 27,778.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.