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Finding the Fourth Proportional to 53,734, 80,605.32 and 16,798

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Solution

The fourth proportional to 53,734, 80,605.32 and 16,798 is: 25,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,734 : 80,605.32 = 16,798 : x
  2. Step 2: Convert to fraction form
    53,734/80,605.32 = 16,798/x
  3. Step 3: Cross multiply
    53,734x = 80,605.32 × 16,798
  4. Step 4: Simplify right side
    53,734x = 1,354,008,165.36
  5. Step 5: Solve for x
    x = 1,354,008,165.36/53,734
  6. Step 6: Final answer
    x = 25,198.35

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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.