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Finding the Fourth Proportional to 53,886.27, 80,829.40 and 16,446.54

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Solution

The fourth proportional to 53,886.27, 80,829.40 and 16,446.54 is: 24,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,886.27 : 80,829.40 = 16,446.54 : x
  2. Step 2: Convert to fraction form
    53,886.27/80,829.40 = 16,446.54/x
  3. Step 3: Cross multiply
    53,886.27x = 80,829.40 × 16,446.54
  4. Step 4: Simplify right side
    53,886.27x = 1,329,363,960.28
  5. Step 5: Solve for x
    x = 1,329,363,960.28/53,886.27
  6. Step 6: Final answer
    x = 24,669.81

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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.