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Finding the Fourth Proportional to 36,124.96, 49,854 and 20,209.44

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Solution

The fourth proportional to 36,124.96, 49,854 and 20,209.44 is: 27,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,124.96 : 49,854 = 20,209.44 : x
  2. Step 2: Convert to fraction form
    36,124.96/49,854 = 20,209.44/x
  3. Step 3: Cross multiply
    36,124.96x = 49,854 × 20,209.44
  4. Step 4: Simplify right side
    36,124.96x = 1,007,521,421.76
  5. Step 5: Solve for x
    x = 1,007,521,421.76/36,124.96
  6. Step 6: Final answer
    x = 27,889.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.