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Finding the Fourth Proportional to 36,476, 54,709.12 and 14,273.92

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Solution

The fourth proportional to 36,476, 54,709.12 and 14,273.92 is: 21,408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,476 : 54,709.12 = 14,273.92 : x
  2. Step 2: Convert to fraction form
    36,476/54,709.12 = 14,273.92/x
  3. Step 3: Cross multiply
    36,476x = 54,709.12 × 14,273.92
  4. Step 4: Simplify right side
    36,476x = 780,913,602.15
  5. Step 5: Solve for x
    x = 780,913,602.15/36,476
  6. Step 6: Final answer
    x = 21,408.97

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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.