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Finding the Fourth Proportional to 37,462.05, 56,193.08 and 20,814.12

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Solution

The fourth proportional to 37,462.05, 56,193.08 and 20,814.12 is: 31,221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,462.05 : 56,193.08 = 20,814.12 : x
  2. Step 2: Convert to fraction form
    37,462.05/56,193.08 = 20,814.12/x
  3. Step 3: Cross multiply
    37,462.05x = 56,193.08 × 20,814.12
  4. Step 4: Simplify right side
    37,462.05x = 1,169,609,406.22
  5. Step 5: Solve for x
    x = 1,169,609,406.22/37,462.05
  6. Step 6: Final answer
    x = 31,221.18

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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.