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Finding the Fourth Proportional to 37,090.74, 55,635.60 and 9,011

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Solution

The fourth proportional to 37,090.74, 55,635.60 and 9,011 is: 13,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,090.74 : 55,635.60 = 9,011 : x
  2. Step 2: Convert to fraction form
    37,090.74/55,635.60 = 9,011/x
  3. Step 3: Cross multiply
    37,090.74x = 55,635.60 × 9,011
  4. Step 4: Simplify right side
    37,090.74x = 501,332,391.60
  5. Step 5: Solve for x
    x = 501,332,391.60/37,090.74
  6. Step 6: Final answer
    x = 13,516.38

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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.