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Finding the Fourth Proportional to 37,109, 55,666.92 and 13,422.46

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Solution

The fourth proportional to 37,109, 55,666.92 and 13,422.46 is: 20,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,109 : 55,666.92 = 13,422.46 : x
  2. Step 2: Convert to fraction form
    37,109/55,666.92 = 13,422.46/x
  3. Step 3: Cross multiply
    37,109x = 55,666.92 × 13,422.46
  4. Step 4: Simplify right side
    37,109x = 747,187,007.02
  5. Step 5: Solve for x
    x = 747,187,007.02/37,109
  6. Step 6: Final answer
    x = 20,134.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.