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Finding the Fourth Proportional to 37,654.39, 56,442.17 and 12,685.81

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Solution

The fourth proportional to 37,654.39, 56,442.17 and 12,685.81 is: 19,015.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,654.39 : 56,442.17 = 12,685.81 : x
  2. Step 2: Convert to fraction form
    37,654.39/56,442.17 = 12,685.81/x
  3. Step 3: Cross multiply
    37,654.39x = 56,442.17 × 12,685.81
  4. Step 4: Simplify right side
    37,654.39x = 716,014,535.22
  5. Step 5: Solve for x
    x = 716,014,535.22/37,654.39
  6. Step 6: Final answer
    x = 19,015.43

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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.