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Finding the Fourth Proportional to 36,744.86, 50,706.98 and 20,829.31

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Solution

The fourth proportional to 36,744.86, 50,706.98 and 20,829.31 is: 28,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,744.86 : 50,706.98 = 20,829.31 : x
  2. Step 2: Convert to fraction form
    36,744.86/50,706.98 = 20,829.31/x
  3. Step 3: Cross multiply
    36,744.86x = 50,706.98 × 20,829.31
  4. Step 4: Simplify right side
    36,744.86x = 1,056,191,252.78
  5. Step 5: Solve for x
    x = 1,056,191,252.78/36,744.86
  6. Step 6: Final answer
    x = 28,743.92

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1.5x scale

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.