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Finding the Fourth Proportional to 51,810.54, 77,715.84 and 20,667.66

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Solution

The fourth proportional to 51,810.54, 77,715.84 and 20,667.66 is: 31,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,810.54 : 77,715.84 = 20,667.66 : x
  2. Step 2: Convert to fraction form
    51,810.54/77,715.84 = 20,667.66/x
  3. Step 3: Cross multiply
    51,810.54x = 77,715.84 × 20,667.66
  4. Step 4: Simplify right side
    51,810.54x = 1,606,204,557.73
  5. Step 5: Solve for x
    x = 1,606,204,557.73/51,810.54
  6. Step 6: Final answer
    x = 31,001.50

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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.