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Finding the Fourth Proportional to 51,841.53, 77,722.34 and 16,771.77

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Solution

The fourth proportional to 51,841.53, 77,722.34 and 16,771.77 is: 25,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,841.53 : 77,722.34 = 16,771.77 : x
  2. Step 2: Convert to fraction form
    51,841.53/77,722.34 = 16,771.77/x
  3. Step 3: Cross multiply
    51,841.53x = 77,722.34 × 16,771.77
  4. Step 4: Simplify right side
    51,841.53x = 1,303,541,126.48
  5. Step 5: Solve for x
    x = 1,303,541,126.48/51,841.53
  6. Step 6: Final answer
    x = 25,144.73

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1.5x scale

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.