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Finding the Fourth Proportional to 51,898.50, 77,794.70 and 18,154.46

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Solution

The fourth proportional to 51,898.50, 77,794.70 and 18,154.46 is: 27,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,898.50 : 77,794.70 = 18,154.46 : x
  2. Step 2: Convert to fraction form
    51,898.50/77,794.70 = 18,154.46/x
  3. Step 3: Cross multiply
    51,898.50x = 77,794.70 × 18,154.46
  4. Step 4: Simplify right side
    51,898.50x = 1,412,320,289.62
  5. Step 5: Solve for x
    x = 1,412,320,289.62/51,898.50
  6. Step 6: Final answer
    x = 27,213.12

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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.