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Finding the Fourth Proportional to 53,644.12, 80,466.18 and 16,711

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Solution

The fourth proportional to 53,644.12, 80,466.18 and 16,711 is: 25,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,644.12 : 80,466.18 = 16,711 : x
  2. Step 2: Convert to fraction form
    53,644.12/80,466.18 = 16,711/x
  3. Step 3: Cross multiply
    53,644.12x = 80,466.18 × 16,711
  4. Step 4: Simplify right side
    53,644.12x = 1,344,670,333.98
  5. Step 5: Solve for x
    x = 1,344,670,333.98/53,644.12
  6. Step 6: Final answer
    x = 25,066.50

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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.