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Finding the Fourth Proportional to 53,883.72, 80,829.72 and 16,447.08

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Solution

The fourth proportional to 53,883.72, 80,829.72 and 16,447.08 is: 24,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,883.72 : 80,829.72 = 16,447.08 : x
  2. Step 2: Convert to fraction form
    53,883.72/80,829.72 = 16,447.08/x
  3. Step 3: Cross multiply
    53,883.72x = 80,829.72 × 16,447.08
  4. Step 4: Simplify right side
    53,883.72x = 1,329,412,871.22
  5. Step 5: Solve for x
    x = 1,329,412,871.22/53,883.72
  6. Step 6: Final answer
    x = 24,671.88

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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.