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Finding the Fourth Proportional to 53,847.33, 80,764.85 and 14,407.49

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Solution

The fourth proportional to 53,847.33, 80,764.85 and 14,407.49 is: 21,609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,847.33 : 80,764.85 = 14,407.49 : x
  2. Step 2: Convert to fraction form
    53,847.33/80,764.85 = 14,407.49/x
  3. Step 3: Cross multiply
    53,847.33x = 80,764.85 × 14,407.49
  4. Step 4: Simplify right side
    53,847.33x = 1,163,618,292.86
  5. Step 5: Solve for x
    x = 1,163,618,292.86/53,847.33
  6. Step 6: Final answer
    x = 21,609.58

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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.