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Finding the Fourth Proportional to 55,684.57, 83,509.02 and 18,234.49

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Solution

The fourth proportional to 55,684.57, 83,509.02 and 18,234.49 is: 27,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,684.57 : 83,509.02 = 18,234.49 : x
  2. Step 2: Convert to fraction form
    55,684.57/83,509.02 = 18,234.49/x
  3. Step 3: Cross multiply
    55,684.57x = 83,509.02 × 18,234.49
  4. Step 4: Simplify right side
    55,684.57x = 1,522,744,390.10
  5. Step 5: Solve for x
    x = 1,522,744,390.10/55,684.57
  6. Step 6: Final answer
    x = 27,345.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.