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Finding the Fourth Proportional to 53,984.84, 80,977.24 and 27,672.80

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Solution

The fourth proportional to 53,984.84, 80,977.24 and 27,672.80 is: 41,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,984.84 : 80,977.24 = 27,672.80 : x
  2. Step 2: Convert to fraction form
    53,984.84/80,977.24 = 27,672.80/x
  3. Step 3: Cross multiply
    53,984.84x = 80,977.24 × 27,672.80
  4. Step 4: Simplify right side
    53,984.84x = 2,240,866,967.07
  5. Step 5: Solve for x
    x = 2,240,866,967.07/53,984.84
  6. Step 6: Final answer
    x = 41,509.19

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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.