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Finding the Fourth Proportional to 51,703.96, 77,506.62 and 16,618.96

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Solution

The fourth proportional to 51,703.96, 77,506.62 and 16,618.96 is: 24,912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,703.96 : 77,506.62 = 16,618.96 : x
  2. Step 2: Convert to fraction form
    51,703.96/77,506.62 = 16,618.96/x
  3. Step 3: Cross multiply
    51,703.96x = 77,506.62 × 16,618.96
  4. Step 4: Simplify right side
    51,703.96x = 1,288,079,417.52
  5. Step 5: Solve for x
    x = 1,288,079,417.52/51,703.96
  6. Step 6: Final answer
    x = 24,912.59

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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.