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Finding the Fourth Proportional to 51,711.76, 77,590.68 and 27,082

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Solution

The fourth proportional to 51,711.76, 77,590.68 and 27,082 is: 40,635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,711.76 : 77,590.68 = 27,082 : x
  2. Step 2: Convert to fraction form
    51,711.76/77,590.68 = 27,082/x
  3. Step 3: Cross multiply
    51,711.76x = 77,590.68 × 27,082
  4. Step 4: Simplify right side
    51,711.76x = 2,101,310,795.76
  5. Step 5: Solve for x
    x = 2,101,310,795.76/51,711.76
  6. Step 6: Final answer
    x = 40,635.07

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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.