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Finding the Fourth Proportional to 51,771.84, 77,654.97 and 16,711.50

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Solution

The fourth proportional to 51,771.84, 77,654.97 and 16,711.50 is: 25,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,771.84 : 77,654.97 = 16,711.50 : x
  2. Step 2: Convert to fraction form
    51,771.84/77,654.97 = 16,711.50/x
  3. Step 3: Cross multiply
    51,771.84x = 77,654.97 × 16,711.50
  4. Step 4: Simplify right side
    51,771.84x = 1,297,731,031.16
  5. Step 5: Solve for x
    x = 1,297,731,031.16/51,771.84
  6. Step 6: Final answer
    x = 25,066.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.