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Finding the Fourth Proportional to 55,176, 82,772.64 and 18,248.64

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Solution

The fourth proportional to 55,176, 82,772.64 and 18,248.64 is: 27,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,176 : 82,772.64 = 18,248.64 : x
  2. Step 2: Convert to fraction form
    55,176/82,772.64 = 18,248.64/x
  3. Step 3: Cross multiply
    55,176x = 82,772.64 × 18,248.64
  4. Step 4: Simplify right side
    55,176x = 1,510,488,109.21
  5. Step 5: Solve for x
    x = 1,510,488,109.21/55,176
  6. Step 6: Final answer
    x = 27,375.82

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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.