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Finding the Fourth Proportional to 51,697.80, 77,561.88 and 16,636.56

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Solution

The fourth proportional to 51,697.80, 77,561.88 and 16,636.56 is: 24,959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,697.80 : 77,561.88 = 16,636.56 : x
  2. Step 2: Convert to fraction form
    51,697.80/77,561.88 = 16,636.56/x
  3. Step 3: Cross multiply
    51,697.80x = 77,561.88 × 16,636.56
  4. Step 4: Simplify right side
    51,697.80x = 1,290,362,870.33
  5. Step 5: Solve for x
    x = 1,290,362,870.33/51,697.80
  6. Step 6: Final answer
    x = 24,959.72

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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.