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Finding the Fourth Proportional to 53,504.46, 80,256.54 and 16,064.46

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Solution

The fourth proportional to 53,504.46, 80,256.54 and 16,064.46 is: 24,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,504.46 : 80,256.54 = 16,064.46 : x
  2. Step 2: Convert to fraction form
    53,504.46/80,256.54 = 16,064.46/x
  3. Step 3: Cross multiply
    53,504.46x = 80,256.54 × 16,064.46
  4. Step 4: Simplify right side
    53,504.46x = 1,289,277,976.57
  5. Step 5: Solve for x
    x = 1,289,277,976.57/53,504.46
  6. Step 6: Final answer
    x = 24,096.64

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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.