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Finding the Fourth Proportional to 51,667, 77,501.22 and 14,731

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Solution

The fourth proportional to 51,667, 77,501.22 and 14,731 is: 22,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,667 : 77,501.22 = 14,731 : x
  2. Step 2: Convert to fraction form
    51,667/77,501.22 = 14,731/x
  3. Step 3: Cross multiply
    51,667x = 77,501.22 × 14,731
  4. Step 4: Simplify right side
    51,667x = 1,141,670,471.82
  5. Step 5: Solve for x
    x = 1,141,670,471.82/51,667
  6. Step 6: Final answer
    x = 22,096.71

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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.