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Finding the Fourth Proportional to 51,741.96, 77,597.95 and 20,144.98

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Solution

The fourth proportional to 51,741.96, 77,597.95 and 20,144.98 is: 30,211.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,741.96 : 77,597.95 = 20,144.98 : x
  2. Step 2: Convert to fraction form
    51,741.96/77,597.95 = 20,144.98/x
  3. Step 3: Cross multiply
    51,741.96x = 77,597.95 × 20,144.98
  4. Step 4: Simplify right side
    51,741.96x = 1,563,208,762.80
  5. Step 5: Solve for x
    x = 1,563,208,762.80/51,741.96
  6. Step 6: Final answer
    x = 30,211.63

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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.