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Finding the Fourth Proportional to 51,206.70, 76,809.97 and 14,270.70

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Solution

The fourth proportional to 51,206.70, 76,809.97 and 14,270.70 is: 21,406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,206.70 : 76,809.97 = 14,270.70 : x
  2. Step 2: Convert to fraction form
    51,206.70/76,809.97 = 14,270.70/x
  3. Step 3: Cross multiply
    51,206.70x = 76,809.97 × 14,270.70
  4. Step 4: Simplify right side
    51,206.70x = 1,096,132,038.88
  5. Step 5: Solve for x
    x = 1,096,132,038.88/51,206.70
  6. Step 6: Final answer
    x = 21,406.03

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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.