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Finding the Fourth Proportional to 55,184, 82,788.96 and 18,248

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Solution

The fourth proportional to 55,184, 82,788.96 and 18,248 is: 27,376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,184 : 82,788.96 = 18,248 : x
  2. Step 2: Convert to fraction form
    55,184/82,788.96 = 18,248/x
  3. Step 3: Cross multiply
    55,184x = 82,788.96 × 18,248
  4. Step 4: Simplify right side
    55,184x = 1,510,732,942.08
  5. Step 5: Solve for x
    x = 1,510,732,942.08/55,184
  6. Step 6: Final answer
    x = 27,376.29

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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.