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Finding the Fourth Proportional to 51,779.98, 77,653.50 and 16,711.48

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Solution

The fourth proportional to 51,779.98, 77,653.50 and 16,711.48 is: 25,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,779.98 : 77,653.50 = 16,711.48 : x
  2. Step 2: Convert to fraction form
    51,779.98/77,653.50 = 16,711.48/x
  3. Step 3: Cross multiply
    51,779.98x = 77,653.50 × 16,711.48
  4. Step 4: Simplify right side
    51,779.98x = 1,297,704,912.18
  5. Step 5: Solve for x
    x = 1,297,704,912.18/51,779.98
  6. Step 6: Final answer
    x = 25,061.90

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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.