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Finding the Fourth Proportional to 53,339.52, 80,013.84 and 13,896.64

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Solution

The fourth proportional to 53,339.52, 80,013.84 and 13,896.64 is: 20,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,339.52 : 80,013.84 = 13,896.64 : x
  2. Step 2: Convert to fraction form
    53,339.52/80,013.84 = 13,896.64/x
  3. Step 3: Cross multiply
    53,339.52x = 80,013.84 × 13,896.64
  4. Step 4: Simplify right side
    53,339.52x = 1,111,923,529.50
  5. Step 5: Solve for x
    x = 1,111,923,529.50/53,339.52
  6. Step 6: Final answer
    x = 20,846.15

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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.