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Finding the Fourth Proportional to 55,678.27, 83,508.51 and 16,226.16

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Solution

The fourth proportional to 55,678.27, 83,508.51 and 16,226.16 is: 24,336.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,678.27 : 83,508.51 = 16,226.16 : x
  2. Step 2: Convert to fraction form
    55,678.27/83,508.51 = 16,226.16/x
  3. Step 3: Cross multiply
    55,678.27x = 83,508.51 × 16,226.16
  4. Step 4: Simplify right side
    55,678.27x = 1,355,022,444.62
  5. Step 5: Solve for x
    x = 1,355,022,444.62/55,678.27
  6. Step 6: Final answer
    x = 24,336.65

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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.