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Finding the Fourth Proportional to 53,882.99, 80,824.50 and 16,443.26

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Solution

The fourth proportional to 53,882.99, 80,824.50 and 16,443.26 is: 24,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,882.99 : 80,824.50 = 16,443.26 : x
  2. Step 2: Convert to fraction form
    53,882.99/80,824.50 = 16,443.26/x
  3. Step 3: Cross multiply
    53,882.99x = 80,824.50 × 16,443.26
  4. Step 4: Simplify right side
    53,882.99x = 1,329,018,267.87
  5. Step 5: Solve for x
    x = 1,329,018,267.87/53,882.99
  6. Step 6: Final answer
    x = 24,664.89

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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.