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Finding the Fourth Proportional to 53,648.64, 80,481.60 and 16,704

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Solution

The fourth proportional to 53,648.64, 80,481.60 and 16,704 is: 25,058.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,648.64 : 80,481.60 = 16,704 : x
  2. Step 2: Convert to fraction form
    53,648.64/80,481.60 = 16,704/x
  3. Step 3: Cross multiply
    53,648.64x = 80,481.60 × 16,704
  4. Step 4: Simplify right side
    53,648.64x = 1,344,364,646.40
  5. Step 5: Solve for x
    x = 1,344,364,646.40/53,648.64
  6. Step 6: Final answer
    x = 25,058.69

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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.