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Finding the Fourth Proportional to 53,765.96, 80,639.84 and 16,317

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Solution

The fourth proportional to 53,765.96, 80,639.84 and 16,317 is: 24,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,765.96 : 80,639.84 = 16,317 : x
  2. Step 2: Convert to fraction form
    53,765.96/80,639.84 = 16,317/x
  3. Step 3: Cross multiply
    53,765.96x = 80,639.84 × 16,317
  4. Step 4: Simplify right side
    53,765.96x = 1,315,800,269.28
  5. Step 5: Solve for x
    x = 1,315,800,269.28/53,765.96
  6. Step 6: Final answer
    x = 24,472.74

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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.