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Finding the Fourth Proportional to 55,494.47, 83,198.45 and 37,678.16

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Solution

The fourth proportional to 55,494.47, 83,198.45 and 37,678.16 is: 56,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,494.47 : 83,198.45 = 37,678.16 : x
  2. Step 2: Convert to fraction form
    55,494.47/83,198.45 = 37,678.16/x
  3. Step 3: Cross multiply
    55,494.47x = 83,198.45 × 37,678.16
  4. Step 4: Simplify right side
    55,494.47x = 3,134,764,813.04
  5. Step 5: Solve for x
    x = 3,134,764,813.04/55,494.47
  6. Step 6: Final answer
    x = 56,487.87

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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.