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Finding the Fourth Proportional to 36,508.40, 54,762.24 and 11,548.46

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Solution

The fourth proportional to 36,508.40, 54,762.24 and 11,548.46 is: 17,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,508.40 : 54,762.24 = 11,548.46 : x
  2. Step 2: Convert to fraction form
    36,508.40/54,762.24 = 11,548.46/x
  3. Step 3: Cross multiply
    36,508.40x = 54,762.24 × 11,548.46
  4. Step 4: Simplify right side
    36,508.40x = 632,419,538.15
  5. Step 5: Solve for x
    x = 632,419,538.15/36,508.40
  6. Step 6: Final answer
    x = 17,322.58

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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.