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Finding the Fourth Proportional to 51,672.70, 77,509.05 and 16,615.90

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Solution

The fourth proportional to 51,672.70, 77,509.05 and 16,615.90 is: 24,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,672.70 : 77,509.05 = 16,615.90 : x
  2. Step 2: Convert to fraction form
    51,672.70/77,509.05 = 16,615.90/x
  3. Step 3: Cross multiply
    51,672.70x = 77,509.05 × 16,615.90
  4. Step 4: Simplify right side
    51,672.70x = 1,287,882,623.90
  5. Step 5: Solve for x
    x = 1,287,882,623.90/51,672.70
  6. Step 6: Final answer
    x = 24,923.85

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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.