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Finding the Fourth Proportional to 55,896.60, 83,827.08 and 18,449.72

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Solution

The fourth proportional to 55,896.60, 83,827.08 and 18,449.72 is: 27,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,896.60 : 83,827.08 = 18,449.72 : x
  2. Step 2: Convert to fraction form
    55,896.60/83,827.08 = 18,449.72/x
  3. Step 3: Cross multiply
    55,896.60x = 83,827.08 × 18,449.72
  4. Step 4: Simplify right side
    55,896.60x = 1,546,586,154.42
  5. Step 5: Solve for x
    x = 1,546,586,154.42/55,896.60
  6. Step 6: Final answer
    x = 27,668.70

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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.