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Finding the Fourth Proportional to 53,682, 80,534.52 and 20,850

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Solution

The fourth proportional to 53,682, 80,534.52 and 20,850 is: 31,279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,682 : 80,534.52 = 20,850 : x
  2. Step 2: Convert to fraction form
    53,682/80,534.52 = 20,850/x
  3. Step 3: Cross multiply
    53,682x = 80,534.52 × 20,850
  4. Step 4: Simplify right side
    53,682x = 1,679,144,742
  5. Step 5: Solve for x
    x = 1,679,144,742/53,682
  6. Step 6: Final answer
    x = 31,279.47

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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.