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Finding the Fourth Proportional to 51,852.38, 77,790.88 and 16,791.98

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Solution

The fourth proportional to 51,852.38, 77,790.88 and 16,791.98 is: 25,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,852.38 : 77,790.88 = 16,791.98 : x
  2. Step 2: Convert to fraction form
    51,852.38/77,790.88 = 16,791.98/x
  3. Step 3: Cross multiply
    51,852.38x = 77,790.88 × 16,791.98
  4. Step 4: Simplify right side
    51,852.38x = 1,306,262,901.14
  5. Step 5: Solve for x
    x = 1,306,262,901.14/51,852.38
  6. Step 6: Final answer
    x = 25,191.96

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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.